Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 14.5, Problem 60HP
To determine

To Solve : Compare and contrast solving trigonometric equation with solving with linear and quadratic equations.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information :

We know that, Trigonometric equation, linear equation, quadratic equation.

Calculation :

Solving Techniques :

  1. Same :

    2. - Shifting terms to left and right of equals to sign is possible in all three equation.

    - Multiplication, addition, substraction or division by any integer except zero is possible in all three.

  2. Different :

    3. - In linear equation, answer can be obtained directly by solving equation, in quadratic, we need to factorize it to linear for solution and in trigonometric equation, we need to follow rules according to trigonometric ratios.

    - Squaring is possible in linear and quadratic equation if both sides are positive whereas in trigonometric equation, squaring both sides leads to increase in number of solutions.

  3. Solutions :

    4. - In linear equation, one solution is possible in quadratic equation, two solutions are possible whereas trigonometric equations, can have infinite many solution, depending on conditions given.

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Chapter 14.5, Problem 59HP
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Chapter 14.5, Problem 61HP

Chapter 14 Solutions

Algebra 2

Ch. 14.1 - Prob. 1ACYPCh. 14.1 - Prob. 1BCYPCh. 14.1 - Prob. 2ACYPCh. 14.1 - Prob. 2BCYPCh. 14.1 - Prob. 3CYPCh. 14.1 - Prob. 1CYUCh. 14.1 - Prob. 2CYUCh. 14.1 - Prob. 3CYUCh. 14.1 - Prob. 4CYUCh. 14.1 - Prob. 5CYU
Ch. 14.1 - Prob. 6CYUCh. 14.1 - Prob. 7CYUCh. 14.1 - Prob. 8CYUCh. 14.1 - Prob. 9PPSCh. 14.1 - Prob. 10PPSCh. 14.1 - Prob. 11PPSCh. 14.1 - Prob. 12PPSCh. 14.1 - Prob. 13PPSCh. 14.1 - Prob. 14PPSCh. 14.1 - Prob. 15PPSCh. 14.1 - Prob. 16PPSCh. 14.1 - Prob. 17PPSCh. 14.1 - Prob. 18PPSCh. 14.1 - Prob. 19PPSCh. 14.1 - Prob. 20PPSCh. 14.1 - Prob. 21PPSCh. 14.1 - Prob. 22PPSCh. 14.1 - Prob. 23PPSCh. 14.1 - Prob. 24PPSCh. 14.1 - Prob. 25PPSCh. 14.1 - Prob. 26PPSCh. 14.1 - Prob. 27PPSCh. 14.1 - Prob. 28PPSCh. 14.1 - Prob. 29PPSCh. 14.1 - Prob. 30PPSCh. 14.1 - Prob. 31PPSCh. 14.1 - Prob. 32PPSCh. 14.1 - Prob. 33PPSCh. 14.1 - Prob. 34PPSCh. 14.1 - Prob. 35PPSCh. 14.1 - Prob. 36PPSCh. 14.1 - Prob. 37PPSCh. 14.1 - Prob. 38PPSCh. 14.1 - Prob. 39PPSCh. 14.1 - Prob. 40PPSCh. 14.1 - Prob. 41PPSCh. 14.1 - Prob. 42HPCh. 14.1 - Prob. 43HPCh. 14.1 - Prob. 44HPCh. 14.1 - Prob. 45HPCh. 14.1 - Prob. 46HPCh. 14.1 - Prob. 47HPCh. 14.1 - Prob. 48HPCh. 14.1 - Prob. 49HPCh. 14.1 - Prob. 50HPCh. 14.1 - Prob. 51STPCh. 14.1 - Prob. 52STPCh. 14.1 - Prob. 53STPCh. 14.1 - Prob. 54STPCh. 14.1 - Prob. 55SRCh. 14.1 - Prob. 56SRCh. 14.1 - Prob. 57SRCh. 14.1 - Prob. 58SRCh. 14.1 - Prob. 59SRCh. 14.1 - Prob. 60SRCh. 14.1 - Prob. 61SRCh. 14.1 - Prob. 62SRCh. 14.1 - Prob. 63SRCh. 14.1 - Prob. 64SRCh. 14.1 - Prob. 65SCh. 14.1 - Prob. 66SCh. 14.1 - Prob. 67SCh. 14.2 - Prob. 1CYPCh. 14.2 - Prob. 2CYPCh. 14.2 - Prob. 3CYPCh. 14.2 - Prob. 1CYUCh. 14.2 - Prob. 2CYUCh. 14.2 - Prob. 3CYUCh. 14.2 - Prob. 4CYUCh. 14.2 - Prob. 5CYUCh. 14.2 - Prob. 6CYUCh. 14.2 - Prob. 7CYUCh. 14.2 - Prob. 8PPSCh. 14.2 - Prob. 9PPSCh. 14.2 - Prob. 10PPSCh. 14.2 - Prob. 11PPSCh. 14.2 - Prob. 12PPSCh. 14.2 - Prob. 13PPSCh. 14.2 - Prob. 14PPSCh. 14.2 - Prob. 15PPSCh. 14.2 - Prob. 16PPSCh. 14.2 - Prob. 17PPSCh. 14.2 - Prob. 18PPSCh. 14.2 - Prob. 19PPSCh. 14.2 - Prob. 20PPSCh. 14.2 - Prob. 21PPSCh. 14.2 - Prob. 22PPSCh. 14.2 - Prob. 23PPSCh. 14.2 - Prob. 24PPSCh. 14.2 - Prob. 25PPSCh. 14.2 - Prob. 26PPSCh. 14.2 - Prob. 27PPSCh. 14.2 - Prob. 28PPSCh. 14.2 - Prob. 29PPSCh. 14.2 - Prob. 30PPSCh. 14.2 - Prob. 31PPSCh. 14.2 - Prob. 32PPSCh. 14.2 - Prob. 33PPSCh. 14.2 - Prob. 34PPSCh. 14.2 - Prob. 35PPSCh. 14.2 - Prob. 36PPSCh. 14.2 - Prob. 37PPSCh. 14.2 - Prob. 38PPSCh. 14.2 - Prob. 39PPSCh. 14.2 - Prob. 40PPSCh. 14.2 - Prob. 41PPSCh. 14.2 - Prob. 42PPSCh. 14.2 - Prob. 43PPSCh. 14.2 - Prob. 44PPSCh. 14.2 - Prob. 45PPSCh. 14.2 - Prob. 46PPSCh. 14.2 - Prob. 47PPSCh. 14.2 - Prob. 48PPSCh. 14.2 - Prob. 49PPSCh. 14.2 - Prob. 52HPCh. 14.2 - Prob. 53HPCh. 14.2 - Prob. 54HPCh. 14.2 - Prob. 55HPCh. 14.2 - Prob. 56HPCh. 14.2 - Prob. 57HPCh. 14.2 - Prob. 58HPCh. 14.2 - Prob. 59HPCh. 14.2 - Prob. 60STPCh. 14.2 - Prob. 61STPCh. 14.2 - Prob. 62STPCh. 14.2 - Prob. 63STPCh. 14.2 - Prob. 64SRCh. 14.2 - Prob. 65SRCh. 14.2 - Prob. 66SRCh. 14.2 - Prob. 67SRCh. 14.2 - Prob. 68SRCh. 14.2 - Prob. 69SRCh. 14.2 - Prob. 70SRCh. 14.2 - Prob. 71SRCh. 14.2 - Prob. 72SRCh. 14.2 - Prob. 73SCh. 14.2 - Prob. 74SCh. 14.2 - Prob. 75SCh. 14.2 - Prob. 76SCh. 14.3 - Prob. 1ACYPCh. 14.3 - Prob. 1BCYPCh. 14.3 - Prob. 2CYPCh. 14.3 - Prob. 3ACYPCh. 14.3 - Prob. 3BCYPCh. 14.3 - Prob. 1CYUCh. 14.3 - Prob. 2CYUCh. 14.3 - Prob. 3CYUCh. 14.3 - Prob. 4CYUCh. 14.3 - Prob. 5CYUCh. 14.3 - Prob. 6CYUCh. 14.3 - Prob. 7CYUCh. 14.3 - Prob. 8CYUCh. 14.3 - Prob. 9CYUCh. 14.3 - Prob. 10CYUCh. 14.3 - Prob. 11CYUCh. 14.3 - Prob. 12PPSCh. 14.3 - Prob. 13PPSCh. 14.3 - Prob. 14PPSCh. 14.3 - Prob. 15PPSCh. 14.3 - Prob. 16PPSCh. 14.3 - Prob. 17PPSCh. 14.3 - Prob. 18PPSCh. 14.3 - Prob. 19PPSCh. 14.3 - Prob. 20PPSCh. 14.3 - Prob. 21PPSCh. 14.3 - Prob. 22PPSCh. 14.3 - Prob. 23PPSCh. 14.3 - Prob. 24PPSCh. 14.3 - Prob. 25PPSCh. 14.3 - Prob. 26PPSCh. 14.3 - Prob. 27PPSCh. 14.3 - Prob. 28PPSCh. 14.3 - Prob. 29PPSCh. 14.3 - Prob. 30PPSCh. 14.3 - Prob. 31PPSCh. 14.3 - Prob. 32PPSCh. 14.3 - Prob. 33PPSCh. 14.3 - Prob. 34PPSCh. 14.3 - Prob. 35PPSCh. 14.3 - Prob. 36PPSCh. 14.3 - Prob. 37PPSCh. 14.3 - Prob. 38HPCh. 14.3 - Prob. 39HPCh. 14.3 - Prob. 40HPCh. 14.3 - Prob. 41HPCh. 14.3 - Prob. 42HPCh. 14.3 - Prob. 43STPCh. 14.3 - Prob. 44STPCh. 14.3 - Prob. 45STPCh. 14.3 - Prob. 46STPCh. 14.3 - Prob. 47SRCh. 14.3 - Prob. 48SRCh. 14.3 - Prob. 49SRCh. 14.3 - Prob. 50SRCh. 14.3 - Prob. 51SRCh. 14.3 - Prob. 52SRCh. 14.3 - Prob. 53SRCh. 14.3 - Prob. 54SRCh. 14.3 - Prob. 55SCh. 14.3 - Prob. 56SCh. 14.3 - Prob. 57SCh. 14.4 - Prob. 1CYPCh. 14.4 - Prob. 2ACYPCh. 14.4 - Prob. 2BCYPCh. 14.4 - Prob. 3CYPCh. 14.4 - Prob. 4ACYPCh. 14.4 - Prob. 4BCYPCh. 14.4 - Prob. 5CYPCh. 14.4 - Prob. 1CYUCh. 14.4 - Prob. 2CYUCh. 14.4 - Prob. 3CYUCh. 14.4 - Prob. 4CYUCh. 14.4 - Prob. 5CYUCh. 14.4 - Prob. 6CYUCh. 14.4 - Prob. 7CYUCh. 14.4 - Prob. 8CYUCh. 14.4 - Prob. 9CYUCh. 14.4 - Prob. 10CYUCh. 14.4 - Prob. 11CYUCh. 14.4 - Prob. 12PPSCh. 14.4 - Prob. 13PPSCh. 14.4 - Prob. 14PPSCh. 14.4 - Prob. 15PPSCh. 14.4 - Prob. 16PPSCh. 14.4 - Prob. 17PPSCh. 14.4 - Prob. 18PPSCh. 14.4 - Prob. 19PPSCh. 14.4 - Prob. 20PPSCh. 14.4 - Prob. 21PPSCh. 14.4 - Prob. 22PPSCh. 14.4 - Prob. 23PPSCh. 14.4 - Prob. 24PPSCh. 14.4 - Prob. 25PPSCh. 14.4 - Prob. 26PPSCh. 14.4 - Prob. 27PPSCh. 14.4 - Prob. 28PPSCh. 14.4 - Prob. 29PPSCh. 14.4 - Prob. 30PPSCh. 14.4 - Prob. 31PPSCh. 14.4 - Prob. 32PPSCh. 14.4 - Prob. 33PPSCh. 14.4 - Prob. 34PPSCh. 14.4 - Prob. 35PPSCh. 14.4 - Prob. 36PPSCh. 14.4 - Prob. 37HPCh. 14.4 - Prob. 38HPCh. 14.4 - Prob. 39HPCh. 14.4 - Prob. 40HPCh. 14.4 - Prob. 41HPCh. 14.4 - Prob. 42HPCh. 14.4 - Prob. 43STPCh. 14.4 - Prob. 44STPCh. 14.4 - Prob. 45STPCh. 14.4 - Prob. 46STPCh. 14.4 - Prob. 47SRCh. 14.4 - Prob. 48SRCh. 14.4 - Prob. 49SRCh. 14.4 - Prob. 50SRCh. 14.4 - Prob. 51SRCh. 14.4 - Prob. 52SRCh. 14.4 - Prob. 53SRCh. 14.4 - Prob. 54SRCh. 14.4 - Prob. 55SRCh. 14.4 - Prob. 56SRCh. 14.4 - Prob. 57SRCh. 14.4 - Prob. 58SCh. 14.4 - Prob. 59SCh. 14.4 - Prob. 60SCh. 14.5 - Prob. 1ECh. 14.5 - Prob. 2ECh. 14.5 - Prob. 3ECh. 14.5 - Prob. 4ECh. 14.5 - Prob. 5ECh. 14.5 - Prob. 6ECh. 14.5 - Prob. 1CYPCh. 14.5 - Prob. 2ACYPCh. 14.5 - Prob. 2BCYPCh. 14.5 - Prob. 3CYPCh. 14.5 - Prob. 4ACYPCh. 14.5 - Prob. 4BCYPCh. 14.5 - Prob. 5ACYPCh. 14.5 - Prob. 5BCYPCh. 14.5 - Prob. 1CYUCh. 14.5 - Prob. 2CYUCh. 14.5 - Prob. 3CYUCh. 14.5 - Prob. 4CYUCh. 14.5 - Prob. 5CYUCh. 14.5 - Prob. 6CYUCh. 14.5 - Prob. 7CYUCh. 14.5 - Prob. 8CYUCh. 14.5 - Prob. 9CYUCh. 14.5 - Prob. 10CYUCh. 14.5 - Prob. 11CYUCh. 14.5 - Prob. 12CYUCh. 14.5 - Prob. 13CYUCh. 14.5 - Prob. 14CYUCh. 14.5 - Prob. 15CYUCh. 14.5 - Prob. 16CYUCh. 14.5 - Prob. 17CYUCh. 14.5 - Prob. 18CYUCh. 14.5 - Prob. 19CYUCh. 14.5 - Prob. 20CYUCh. 14.5 - Prob. 21CYUCh. 14.5 - Prob. 22CYUCh. 14.5 - Prob. 23CYUCh. 14.5 - Prob. 24CYUCh. 14.5 - Prob. 25CYUCh. 14.5 - Prob. 26CYUCh. 14.5 - Prob. 27CYUCh. 14.5 - Prob. 28CYUCh. 14.5 - Prob. 29CYUCh. 14.5 - Prob. 30PPSCh. 14.5 - Prob. 31PPSCh. 14.5 - Prob. 32PPSCh. 14.5 - Prob. 33PPSCh. 14.5 - Prob. 34PPSCh. 14.5 - Prob. 35PPSCh. 14.5 - Prob. 36PPSCh. 14.5 - Prob. 37PPSCh. 14.5 - Prob. 38PPSCh. 14.5 - Prob. 39PPSCh. 14.5 - Prob. 40PPSCh. 14.5 - Prob. 41PPSCh. 14.5 - Prob. 42PPSCh. 14.5 - Prob. 43PPSCh. 14.5 - Prob. 44PPSCh. 14.5 - Prob. 45PPSCh. 14.5 - Prob. 46PPSCh. 14.5 - Prob. 47PPSCh. 14.5 - Prob. 48PPSCh. 14.5 - Prob. 49PPSCh. 14.5 - Prob. 50PPSCh. 14.5 - Prob. 51PPSCh. 14.5 - Prob. 52PPSCh. 14.5 - Prob. 53PPSCh. 14.5 - Prob. 54PPSCh. 14.5 - Prob. 55PPSCh. 14.5 - Prob. 56PPSCh. 14.5 - Prob. 57PPSCh. 14.5 - Prob. 58HPCh. 14.5 - Prob. 59HPCh. 14.5 - Prob. 60HPCh. 14.5 - Prob. 61HPCh. 14.5 - Prob. 62HPCh. 14.5 - Prob. 63HPCh. 14.5 - Prob. 64STPCh. 14.5 - Prob. 65STPCh. 14.5 - Prob. 66STPCh. 14.5 - Prob. 67STPCh. 14.5 - Prob. 68SRCh. 14.5 - Prob. 69SRCh. 14.5 - Prob. 70SRCh. 14.5 - Prob. 71SRCh. 14.5 - Prob. 72SRCh. 14.5 - Prob. 73SRCh. 14.5 - Prob. 74SRCh. 14.5 - Prob. 75SRCh. 14.5 - Prob. 76SRCh. 14.5 - Prob. 77SRCh. 14.5 - Prob. 78SRCh. 14.5 - Prob. 79SRCh. 14.5 - Prob. 80SRCh. 14.5 - Prob. 81SRCh. 14.5 - Prob. 82SRCh. 14.5 - Prob. 83SRCh. 14 - Prob. 1QCCh. 14 - Prob. 2QCCh. 14 - Prob. 3QCCh. 14 - Prob. 4QCCh. 14 - Prob. 5QCCh. 14 - Prob. 6QCCh. 14 - Prob. 7QCCh. 14 - Prob. 8QCCh. 14 - Prob. 9QCCh. 14 - Prob. 10QCCh. 14 - Prob. 11QCCh. 14 - Prob. 12QCCh. 14 - Prob. 13QCCh. 14 - Prob. 14QCCh. 14 - Prob. 15QCCh. 14 - Prob. 1MCQCh. 14 - Prob. 2MCQCh. 14 - Prob. 3MCQCh. 14 - Prob. 4MCQCh. 14 - Prob. 5MCQCh. 14 - Prob. 6MCQCh. 14 - Prob. 7MCQCh. 14 - Prob. 8MCQCh. 14 - Prob. 9MCQCh. 14 - Prob. 10MCQCh. 14 - Prob. 11MCQCh. 14 - Prob. 12MCQCh. 14 - Prob. 13MCQCh. 14 - Prob. 14MCQCh. 14 - Prob. 15MCQCh. 14 - Prob. 16MCQCh. 14 - Prob. 17MCQCh. 14 - Prob. 18MCQCh. 14 - Prob. 19MCQCh. 14 - Prob. 20MCQCh. 14 - Prob. 21MCQCh. 14 - Prob. 22MCQCh. 14 - Prob. 23MCQCh. 14 - Prob. 24MCQCh. 14 - Prob. 25MCQCh. 14 - Prob. 1SGRCh. 14 - Prob. 2SGRCh. 14 - Prob. 3SGRCh. 14 - Prob. 4SGRCh. 14 - Prob. 5SGRCh. 14 - Prob. 6SGRCh. 14 - Prob. 7SGRCh. 14 - Prob. 8SGRCh. 14 - Prob. 9SGRCh. 14 - Prob. 10SGRCh. 14 - Prob. 11SGRCh. 14 - Prob. 12SGRCh. 14 - Prob. 13SGRCh. 14 - Prob. 14SGRCh. 14 - Prob. 15SGRCh. 14 - Prob. 16SGRCh. 14 - Prob. 17SGRCh. 14 - Prob. 18SGRCh. 14 - Prob. 19SGRCh. 14 - Prob. 20SGRCh. 14 - Prob. 21SGRCh. 14 - Prob. 22SGRCh. 14 - Prob. 23SGRCh. 14 - Prob. 24SGRCh. 14 - Prob. 25SGRCh. 14 - Prob. 26SGRCh. 14 - Prob. 27SGRCh. 14 - Prob. 28SGRCh. 14 - Prob. 29SGRCh. 14 - Prob. 30SGRCh. 14 - Prob. 31SGRCh. 14 - Prob. 32SGRCh. 14 - Prob. 33SGRCh. 14 - Prob. 34SGRCh. 14 - Prob. 35SGRCh. 14 - Prob. 36SGRCh. 14 - Prob. 37SGRCh. 14 - Prob. 38SGRCh. 14 - Prob. 39SGRCh. 14 - Prob. 40SGRCh. 14 - Prob. 41SGRCh. 14 - Prob. 1PTCh. 14 - Prob. 2PTCh. 14 - Prob. 3PTCh. 14 - Prob. 4PTCh. 14 - Prob. 5PTCh. 14 - Prob. 6PTCh. 14 - Prob. 7PTCh. 14 - Prob. 8PTCh. 14 - Prob. 9PTCh. 14 - Prob. 10PTCh. 14 - Prob. 11PTCh. 14 - Prob. 12PTCh. 14 - Prob. 13PTCh. 14 - Prob. 14PTCh. 14 - Prob. 15PTCh. 14 - Prob. 16PTCh. 14 - Prob. 17PTCh. 14 - Prob. 18PTCh. 14 - Prob. 19PTCh. 14 - Prob. 20PTCh. 14 - Prob. 21PTCh. 14 - Prob. 22PTCh. 14 - Prob. 23PTCh. 14 - Prob. 24PTCh. 14 - Prob. 25PTCh. 14 - Prob. 1STPCh. 14 - Prob. 2STPCh. 14 - Prob. 3STPCh. 14 - Prob. 4STPCh. 14 - Prob. 5STPCh. 14 - Prob. 6STPCh. 14 - Prob. 7STPCh. 14 - Prob. 8STPCh. 14 - Prob. 9STPCh. 14 - Prob. 10STPCh. 14 - Prob. 11STPCh. 14 - Prob. 12STPCh. 14 - Prob. 13STPCh. 14 - Prob. 14STPCh. 14 - Prob. 15STPCh. 14 - Prob. 16STPCh. 14 - Prob. 17STP

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