Evaluate Expressions That Include the Inverse Tangent, Cosecant, Secant, or Cotangent Function

Practice Questions

Pre-Calculus › Evaluate Expressions That Include the Inverse Tangent, Cosecant, Secant, or Cotangent Function

Page 1 of 2

10 of 12

1

Evaluate: $5sin^{-1}(\frac{\sqrt{3}}{2})$

2

Evaluate the following expression: $f\left ( x \right )=\tan (\arctan (\tan (\frac{\pi }{4})))$

3

Given that $\sin \theta =\frac{3}{4}$ and that $\theta$ is acute, find the value of $\cot \theta$ without using a calculator.

4

Evaluate the following:

$f(x)=cos(cos^{-1}(cos(\frac{\pi }{3})))$

5

Approximate the following:

6

Evaluate: $5\sin ^{-1}\left ( \frac{\sqrt{3}}{2} \right )$

7

Approximate:

8

Evaluate:

$cos^-^1\left(\frac{\sqrt3}{2}\right)+sin^-^1\left(\frac{\sqrt3}{2}\right)=$

9

Approximate the following: $\arcsin \left ( 0.00002 \right )$ is closest in value to which of the following?

10

Given that $sin\theta=\frac{3}{4}$ and that $\theta$ is acute, find the value of $cot\theta$ without using a calculator.

Page 1 of 2

Return to subject