To Solve : Compare and contrast solving trigonometric equation with solving with linear and quadratic equations.
Explanation of Solution
Given information :
We know that, Trigonometric equation, linear equation,
Calculation :
Solving Techniques :
(i)Same :
- 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.
(ii)Different :
- 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.
(iii)Solutions :
- 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.
Chapter 13 Solutions
Glencoe Algebra 2 Student Edition C2014
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