Chapter 10

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\cot \pi\)

In \(3-12\) , find the exact function value of each of the following if the measure of the angle is given in radians. $$ \sec \frac{\pi}{3} $$

In \(3-12,\) find the radian measure of each angle whose degree measure is given. \(240^{\circ}\)

In \(3-14,\) find each value of \(\theta : \mathbf{a} .\) in degrees \(\mathbf{b} .\) in radians $$ \theta=\arccos (-1) $$

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \sin 110^{\circ} $$

In \(3-14,\) for each given function value, find the remaining five trigonometric function values. \(\cot \theta=\frac{5}{3}\) and \(\theta\) is in the third quadrant.

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\sec \frac{3 \pi}{2}\)

In \(3-12\) , find the exact function value of each of the following if the measure of the angle is given in radians. $$ \csc \pi $$

In \(3-12,\) find the radian measure of each angle whose degree measure is given. \(270^{\circ}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \tan 95^{\circ} $$

In \(3-14,\) find each value of \(\theta : \mathbf{a} .\) in degrees \(\mathbf{b} .\) in radians $$ \theta=\arcsin 1 $$

In \(3-14,\) for each given function value, find the remaining five trigonometric function values. \(\csc \theta=\frac{5}{4}\) and \(\theta\) is in the second quadrant.

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\csc \frac{7 \pi}{2}\)

In \(3-12\) , find the exact function value of each of the following if the measure of the angle is given in radians. $$ \cot \frac{\pi}{4} $$

In \(3-12,\) find the radian measure of each angle whose degree measure is given. \(330^{\circ}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \cos 130^{\circ} $$

In \(3-14,\) find each value of \(\theta : \mathbf{a} .\) in degrees \(\mathbf{b} .\) in radians $$ \theta=\arctan 0 $$

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\tan 0\)

In \(13-24,\) find, to the nearest ten-thousandth, the radian measure \(\theta\) of a first-quadrant angle with the given function value. $$ \sin \theta=0.2736 $$

In \(13-22\) , find the degree measure of each angle whose radian measure is given. \(\frac{\pi}{3}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \sec 125^{\circ} $$

In \(3-14,\) find each value of \(\theta : \mathbf{a} .\) in degrees \(\mathbf{b} .\) in radians $$ \theta=\arccos 0 $$

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\cot 0\)

In \(13-24,\) find, to the nearest ten-thousandth, the radian measure \(\theta\) of a first-quadrant angle with the given function value. $$ \cos \theta=0.5379 $$

In \(13-22\) , find the degree measure of each angle whose radian measure is given. \(\frac{\pi}{9}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \sin 230^{\circ} $$

In \(15-23,\) use a calculator to find each value of \(\theta\) to the nearest degree. $$ \theta=\arcsin 0.6 $$

In \(15-22,\) write each given expression in terms of sine and cosine and express the result in simplest form. \((\csc \theta)(\sin \theta)\)

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\tan \left(-\frac{\pi}{2}\right)\)

In \(13-24,\) find, to the nearest ten-thousandth, the radian measure \(\theta\) of a first-quadrant angle with the given function value. $$ \tan \theta=3.726 $$

In \(13-22\) , find the degree measure of each angle whose radian measure is given. \(\frac{\pi}{10}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \cos 255^{\circ} $$

In \(15-23,\) use a calculator to find each value of \(\theta\) to the nearest degree. $$ \theta=\arccos (-0.6) $$

In \(15-22,\) write each given expression in terms of sine and cosine and express the result in simplest form. \((\sin \theta)(\cot \theta)\)

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\csc \left(-\frac{9 \pi}{2}\right)\)

In \(13-24,\) find, to the nearest ten-thousandth, the radian measure \(\theta\) of a first-quadrant angle with the given function value. $$ \cos \theta=0.9389 $$

In \(13-22\) , find the degree measure of each angle whose radian measure is given. \(\frac{2 \pi}{5}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \tan 237^{\circ} $$

In \(15-23,\) use a calculator to find each value of \(\theta\) to the nearest degree. $$ \theta=\arctan 4.4 $$

In \(15-22,\) write each given expression in terms of sine and cosine and express the result in simplest form. \((\tan \theta)(\cos \theta)\)

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\sec \left(-\frac{9 \pi}{2}\right)\)

In \(13-24,\) find, to the nearest ten-thousandth, the radian measure \(\theta\) of a first-quadrant angle with the given function value. $$ \sin \theta=0.8267 $$

In \(13-22\) , find the degree measure of each angle whose radian measure is given. \(\frac{10 \pi}{9}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \csc 266^{\circ} $$

In \(15-23,\) use a calculator to find each value of \(\theta\) to the nearest degree. $$ \theta=\arctan (-4.4) $$

In \(15-22,\) write each given expression in terms of sine and cosine and express the result in simplest form. \((\sec \theta)(\cot \theta)\)

For each function value, write the value or tell why it is undefined. Do not use a calculator. \(\cot (-8 \pi)\)

In \(13-24,\) find, to the nearest ten-thousandth, the radian measure \(\theta\) of a first-quadrant angle with the given function value. $$ \cos \theta=0.8267 $$

In \(13-22\) , find the degree measure of each angle whose radian measure is given. \(\frac{3 \pi}{2}\)

In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \cos 300^{\circ} $$