Chapter 13
Algebra 2 · 418 exercises
Problem 1
Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. $$ \csc 100^{\circ} $$
3 step solution
Problem 1
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan (-\pi) $$
2 step solution
Problem 1
Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ -300^{\circ} $$
4 step solution
Problem 2
Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. $$ \csc 80^{\circ} $$
4 step solution
Problem 2
What is the value of \(h\) in each translation? Describe each phase shift (use a phrase like 3 units to the left). $$ g(t)=f(t+2) $$
3 step solution
Problem 2
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan \pi $$
2 step solution
Problem 2
Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ 150^{\circ} $$
4 step solution
Problem 3
Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. $$ \cot \left(-55^{\circ}\right) $$
4 step solution
Problem 3
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan \frac{3 \pi}{4} $$
3 step solution
Problem 3
Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ -90^{\circ} $$
4 step solution
Problem 4
Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. $$ \sec 200^{\circ} $$
5 step solution
Problem 4
What is the value of \(h\) in each translation? Describe each phase shift (use a phrase like 3 units to the left). $$ h(x)=f(x-3) $$
2 step solution
Problem 4
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan \frac{\pi}{2} $$
2 step solution
Problem 4
Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ -60^{\circ} $$
3 step solution
Problem 5
Evaluate each expression. Write your answer in exact form. Suppose \(\tan \theta=\frac{20}{15} .\) Find \(\cot \theta\)
3 step solution
Problem 5
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan \left(-\frac{7 \pi}{4}\right) $$
2 step solution
Problem 5
Sketch the graph of each function in the interval from 0 to 2\(\pi\) \(y=\cos 2 \theta\)
3 step solution
Problem 5
Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ 160^{\circ} $$
4 step solution
Problem 5
What is the value of \(h\) in each translation? Describe each phase shift (use a phrase like 3 units to the left). $$ y=\sin (x+\pi) $$
2 step solution
Problem 6
Evaluate each expression. Write your answer in exact form. Suppose \(\sin \theta=\frac{13}{18} \cdot\) Find \(\csc \theta\)
3 step solution
Problem 6
What is the value of \(h\) in each translation? Describe each phase shift (use a phrase like 3 units to the left). $$ y=\cos \left(x-\frac{5 \pi}{7}\right) $$
4 step solution
Problem 6
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan 2 \pi $$
2 step solution
Problem 6
Sketch the graph of each function in the interval from 0 to 2\(\pi\). \(y=-3 \cos \theta\)
3 step solution
Problem 6
Write each measure in radians. Express the answer in terms of \(\pi\) and as a decimal rounded to the nearest hundredth. $$ 20^{\circ} $$
4 step solution
Problem 7
Evaluate each expression. Write your answer in exact form. Suppose cos \(\theta=-\frac{21}{35}\) . Find \(\sec \theta\)
4 step solution
Problem 7
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan \left(-\frac{3 \pi}{4}\right) $$
3 step solution
Problem 7
Sketch the graph of each function in the interval from 0 to 2\(\pi\). \(y=-\cos 3 t\)
4 step solution
Problem 7
Sketch each angle in standard position. $$ 40^{\circ} $$
5 step solution
Problem 7
Write each measure in degrees. Round your answer to the nearest degree, if necessary. 3\(\pi\) radians
3 step solution
Problem 8
Evaluate each expression. Write your answer in exact form. Suppose tan \(\theta=-\frac{4}{3},\) Find \(\cot \theta\)
3 step solution
Problem 8
Use the graph of \(y=\tan \theta\) to find each value. If the tangent is undefined at that point, write undefined. $$ \tan \frac{3 \pi}{2} $$
3 step solution
Problem 8
Sketch the graph of each function in the interval from 0 to 2\(\pi\). \(y=\cos \frac{\pi}{2} \theta\)
3 step solution
Problem 8
Sketch each angle in standard position. $$ -130^{\circ} $$
3 step solution
Problem 8
Write each measure in degrees. Round your answer to the nearest degree, if necessary. \(\frac{11 \pi}{10}\) radians
3 step solution
Problem 9
Find the exact value of each expression. If the expression is undefined, write undefined. $$ \sec 45^{\circ} $$
3 step solution
Problem 9
Sketch the graph of each function in the interval from 0 to 2\(\pi\). \(y=-\cos \pi \theta\)
3 step solution
Problem 9
Sketch each angle in standard position. $$ -270^{\circ} $$
3 step solution
Problem 9
Write each measure in degrees. Round your answer to the nearest degree, if necessary. \(-\frac{2 \pi}{3}\) radians
4 step solution
Problem 10
Find the exact value of each expression. If the expression is undefined, write undefined. $$ \cot 60^{\circ} $$
3 step solution
Problem 10
Write a cosine function for each description. Assume that \(a>0\). amplitude \(2,\) period \(\pi\)
3 step solution
Problem 10
Sketch each angle in standard position. $$ 120^{\circ} $$
3 step solution
Problem 10
Write each measure in degrees. Round your answer to the nearest degree, if necessary. \(-3\) radians
4 step solution
Problem 11
Find the exact value of each expression. If the expression is undefined, write undefined. $$ \cot 90^{\circ} $$
3 step solution
Problem 11
Graph each translation of \(y=\cos x\) in the interval from 0 to 2\(\pi\) $$ y=\cos (x+3) $$
3 step solution
Problem 11
Identify the period and tell where two asymptotes occur for each function. $$ y=\tan 5 \theta $$
2 step solution
Problem 11
Write a cosine function for each description. Assume that \(a>0\). amplitude \(\frac{\pi}{2},\) period 3
4 step solution
Problem 11
Sketch each angle in standard position. $$ 95^{\circ} $$
4 step solution
Problem 11
Write each measure in degrees. Round your answer to the nearest degree, if necessary. 1.57 radians
3 step solution
Problem 12
Find the exact value of each expression. If the expression is undefined, write undefined. $$ \sec 180^{\circ} $$
3 step solution
Problem 12
Graph each translation of \(y=\cos x\) in the interval from 0 to 2\(\pi\) $$ y=\cos x+3 $$
3 step solution