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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
Related questions
Question
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
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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