91Ó°ÊÓ

Evaluate the expression. If necessary, round your answer to two decimal places. $$ \arcsin (-1) $$

Evaluate the expression. If necessary, round your answer to two decimal places. $$ \arcsin 0.4 $$

In Exercises 109-112, sketch a right triangle corresponding to the trigonometric function of the acute angle \(\theta\). Use the Pythagorean Theorem to determine the third side. Then find the other five trigonometric functions of \(\boldsymbol{\theta}\). $$ \cos \theta=\frac{5}{6} $$

Evaluate the expression. If necessary, round your answer to two decimal places. $$ \arcsin 0.213 $$

In Exercises 109-112, sketch a right triangle corresponding to the trigonometric function of the acute angle \(\theta\). Use the Pythagorean Theorem to determine the third side. Then find the other five trigonometric functions of \(\boldsymbol{\theta}\). $$ \sec \theta=3 $$

Writing In your own words, explain the meanings of (a) an angle in standard position, (b) a negative angle, (c) coterminal angles, and (d) an obtuse angle.

Evaluate the expression. If necessary, round your answer to two decimal places. $$ \sin ^{-1}(-0.44) $$

Think About It A fan motor turns at a given angular speed. How does the speed of the tips of the blades change if a fan of greater diameter is installed on the motor? Explain.

A group of people agree to share equally in the cost of a \(\$ 250,000\) endowment to a college. If they could find two more people to join the group, each person's share of the cost would decrease by \(\$ 6250\). How many people are presently in the group?

Think About It Is a degree or a radian the larger unit of measure? Explain.