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Chapter 7: Q 11. (page 457)

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

tancos-1-32

Short Answer

Expert verified

The value of the expressiontancos-1-32=-33

Step by step solution

01

Step 1. Given information.

The given expression is:

tancos-1-32

Let's take 胃=cos-1-32,

cos胃=-32

0鈮�胃鈮�蟺is the domain of the function.

02

Step 2. Find the value of 

Initially, we havecos-1 and the bounds of cosfunction are going to be in the interval 0,蟺. It represents the range of cos-1.

By using the unit circle, we can say that 胃must be equal to 5蟺6, so that we can get -32.

cos胃=-32cos-1-32=5蟺6

03

Step 3. Find the exact value of the expression.

tan5蟺6=-13=-33

Therefore,tancos-1-32=-33.

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Most popular questions from this chapter

Multiply:cos(胃)1-sin(胃)1+sin(胃)1+sin(胃)

Establish each identity.

1+sin胃1-sin胃=(sec胃+tan胃)2

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

cos-1sin5蟺4

Find the value of the number C:

12sin2x+C=-14cos2x

Show thatsin-1v+cos-1(v)=蟺2
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