Chapter 5

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\tan (-0.5)$$

Find a cofunction that has the same value as the given quantity. $$\sec 47^{\circ}$$

This set of exercises will draw on the ideas presented in this section and your general math background. What are the domain and range of the function \(f(x)=\sec 3 x-1 ?\)

Find the exact values of the given expressions in radian measure. $$\csc ^{-1} \frac{2 \sqrt{3}}{3}$$

Find the angle that is supplementary to it. $$49^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\tan (-1.5)$$

Find a cofunction that has the same value as the given quantity. $$\csc 31^{\circ}$$

This set of exercises will draw on the ideas presented in this section and your general math background. What are the vertical asymptotes of the graph of \(f(x)=\tan x+\cot x ?\)

Find the exact values of the given expressions in radian measure. $$\sec ^{-1}\left(-\frac{2 \sqrt{3}}{3}\right)$$

Convert each angle from degrees to radians. $$240^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\csc \frac{7 \pi}{5}$$

Find a cofunction that has the same value as the given quantity. $$\cot 67^{\circ}$$

Find the exact values of the given expressions in radian measure. $$\sec ^{-1}(-\sqrt{2})$$

Convert each angle from degrees to radians. $$210^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$ \sec \frac{4 \pi}{5} $$

Find a cofunction that has the same value as the given quantity. $$\cot 72^{\circ}$$

Find the exact values of the given expressions in radian measure. $$\csc ^{-1}(-2)$$

Convert each angle from degrees to radians. $$-150^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\sec (3.2)$$

Find the exact values of the given expressions in radian measure. $$\sec ^{-1}(-2)$$

Convert each angle from degrees to radians. $$-225^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\cot (2.7)$$

Find the exact values of the given expressions in radian measure. $$\cot ^{-1} \sqrt{3}$$

Convert each angle from degrees to radians. $$270^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\cot 215^{\circ}$$

Find the exact values of the given expressions in radian measure. $$\cot ^{-1}(-1)$$

Convert each angle from degrees to radians. $$300^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\sin 107^{\circ}$$

Evaluate the given expressions to four decimal places with a calculator. $$\sec ^{-1} 2.5$$

Convert each angle from degrees to radians. $$-270^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\tan \left(-38^{\circ}\right)$$

Evaluate the given expressions to four decimal places with a calculator. $$\csc ^{-1} 5$$

Convert each angle from degrees to radians. $$-180^{\circ}$$

In Exercises \(39-60,\) use a scientific calculator to evaluate the given trigonometric functions to four decimal places. $$ \cot \left(-217^{\circ}\right) $$

Evaluate the given expressions to four decimal places with a calculator. $$\csc ^{-1}(-3.6)$$

Convert each angle from degrees to radians. $$720^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\sec \left(410^{\circ}\right)$$

Find the measure of the acute angle \(\theta\) for which the sine or cosine is given. $$\sin \theta=\frac{1}{2}$$

Evaluate the given expressions to four decimal places with a calculator. $$\sec ^{-1}(-4.2)$$

Convert each angle from degrees to radians. $$540^{\circ}$$

Use a scientific calculator to evaluate the giren trigonometric functions to four decimal places. $$\csc \left(440^{\circ}\right)$$

Find the measure of the acute angle \(\theta\) for which the sine or cosine is given. $$\cos \theta=\frac{\sqrt{3}}{2}$$

$$\cot ^{-1} 2.4$$

Convert each angle from degrees to radians. $$390^{\circ}$$

The position \(d\) of a block that is attached to a spring is given by the formula \(d=7 \cos \frac{\pi}{2} t\) where \(t\) is in seconds. Find \(d\) when \(t=\frac{1}{2}\) and when \(t=4\).

Find the measure of the acute angle \(\theta\) for which the sine or cosine is given. $$\cos \theta=\frac{\sqrt{2}}{2}$$

Evaluate the given expressions to four decimal places with a calculator. $$\cot ^{-1} 3.6$$

Convert each angle from degrees to radians. $$-405^{\circ}$$

Fill in the given table with the missing information. Approximate all nonexact anstoers to four decimal places. $$\begin{array}{|c|c|c|c|c|} \hline \text { Quadrant } & \sin t & \cos t & \tan t \\ \hline IV & & \frac{1}{2} & \\ \hline \end{array}$$

The position \(d\) of a block that is attached to a spring is given by the formula \(d=5 \sin \frac{\pi}{4} t\) where \(t\) is in seconds. What is the maximum distance of the block from its equilibrium position (the position at which \(d=0\) )? Find the period of the motion.