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Chapter 7: Q. 93 (page 496)

In Problems 91-93, find the real zeros of each trigonometric function on the interval $0 \leq θ < 2 π$

Short Answer

Expert verified

The real zeroes are $x = \frac{π}{2}, \frac{3 π}{2}$

Step by step solution

01

Given information

Given function $f (x) = \cos (2 x) + \sin^{2} x$

02

Using trigonometric identity and calculate

Using, we get

$\cos 2 x + \sin^{2} x = 0 1 - 2 \sin^{2} x + \sin^{2} x = 0 1 - \sin^{2} x = 0 \pm 1 = \sin x x = \frac{π}{2}, x = \frac{3 π}{2}$

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Most popular questions from this chapter

In Problems 9–36, find the exact value of each expression.

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