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Chapter 7: Q. 30 (page 495)

In Problems 29鈥� 40, use the figures to evaluate each function given that

f(x)=sinxg(x)=cosxh(x)=tanx

g(2胃)

Short Answer

Expert verified

The evaluation of g(2胃)is -35

Step by step solution

01

Step 1. Given

The figures:

The function f(x)=sinxg(x)=cosxh(x)=tanx

To evaluate the value of g(2胃)

02

Step 2. Find the equation.

g(x)=cosxg(2胃)=cos2胃

From the figure, the equation of circle is

x2+y2=5

03

Step 3. Find sin θ

From the right triangle,

sin胃=25

04

Step 4. Use double-angle formula

By using double-angle formula,

cos2胃=1-2sin2胃=1-2(25)2 =1-2(45)=1-85=-35

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