91Ó°ÊÓ

The graphs of the tangent, cotangent, secant, and cosecant functions have __________ asymptotes.

The _____ of a sine or cosine curve represents half the distance between the maximum and minimum values of the function.

To sketch the graph of a secant or cosecant function, first make a sketch of its ____________ function.

An angle that measures from the horizontal upward to an object is called the angle of _____, whereas an angle that measures from the horizontal downward to an object is called the angle of __________.

Evaluate the expression without using a calculator. \(\arcsin \frac{1}{2}\)

Use a calculator to evaluate the expression. Round your result to two decimal places. \(\arcsin 0.65\)

Describing the Relationship Between Graphs, describe the relationship between the graphs of \(f\) and \(g .\) Consider amplitude, period, and shifts. $$ \begin{array}{l}{f(x)=\cos x} \\ {g(x)=\cos 2 x}\end{array} $$

Evaluating Trigonometric Functions In Exercises \(23-30\) , evaluate (if possible) the six trigonometric functions at the real number. $$t=7 \pi / 4$$

Angle of Elevation The height of an outdoor basketball backboard is 12\(\frac{1}{2}\) feet, and the backboard casts a shadow 17\(\frac{1}{3}\) feet long. (a) Draw a right triangle that gives a visual representation of the problem. Label the known and unknown quantities. (b) Use a trigonometric function to write an equation involving the unknown angle of elevation. (c) Find the angle of elevation of the sun.

Using a Calculator, use a calculator to evaluate each function. Round your answers to four decimal places. (Be sure the calculator is in the correct mode.) $${ (a) }\sin 10^{\circ} \quad \text { (b) } \cos 80^{\circ}$$