True or False? In Exercises 99 and 100, determinewhether the statement is true or false. Justify youranswer.99. The equation 2 sin 4t − 1 = 0 has four times thenumber of solutions in the interval [0, 2π) as theequation 2 sin t − 1 = 0.100. The trigonometric equation sin x = 3.4 can be solvedusing an inverse trigonometric function.101. Think About It Explain what happens when youdivide each side of the equation cot x cos2 x = 2 cot xby cot x. Is this a correct method to use when solvingequations?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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True or False? In Exercises 99 and 100, determine
whether the statement is true or false. Justify your
answer.
99. The equation 2 sin 4t − 1 = 0 has four times the
number of solutions in the interval [0, 2π) as the
equation 2 sin t − 1 = 0.
100. The trigonometric equation sin x = 3.4 can be solved
using an inverse trigonometric function.
101. Think About It Explain what happens when you
divide each side of the equation cot x cos2 x = 2 cot x
by cot x. Is this a correct method to use when solving
equations?

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