Exam 5: Introduction to Trigonometric Functions

In the triangle below, b = 36 in. Solve for side c using trig functions of an acute angle $\theta$ . Use exact values.

Use the formula for area of a circular sector to find the value of the unknown quantity: . $\theta$ = 6; r = 15.4 m

In the triangle below, c = 60 cm. Solve the triangle using trig functions of an acute angle $\theta$ . Give a complete answer (in table form) using exact values.

Use the following to answer questions : y = -8 sin -State the period.

Evaluate cot²(75°) without a calculator, using the cofunction relationship and the exact form: .

State the exact value of sin $\pi$ . A diagram may help.

Select an appropriate function to find the angle $\theta$ (rounded to the nearest tenth of a degree). 8 in 12 in

Graph f(t) = -3 cot(πt) over the interval [-2, 2].

Find the exact value of sin $\theta$ , cos $\theta$ , and tan $\theta$ using reference angles. $\theta$ = 570°

Find all angles satisfying the stated relationship. Use a calculator and round to tenths. sin $\theta$ = 0.4985

Without using a calculator, find two values of t (where possible) in [0, 2π) that make cos t = true.

Determine the measure of the complement of a 74° angle.

Convert 5.2135 rad to degrees. Round to the nearest tenth.

Use the following to answer questions : The wheels on a vehicle have a radius of 29 inches and are turning at 250 revolutions per minute. -What is the linear velocity of the wheels in inches per minute?

Using the right triangle ABC shown, and the information given, select an appropriate ratio to find side a. Round to the nearest 100th. c = 47 ft

Use the values for sin t and cos t to complete the table.

Convert from DMS (degree/minute/sec) notation to decimal degrees. Round to hundredths of a degree. 59°34′18′′

Find the equation of the graph, given it is of the form y = A tan(Bt).

Use the following to answer questions : y = 190 sin -Identify the horizontal shift (HS).

Use the following to answer questions : y = 20 sin + 320 -Identify the horizontal shift (HS).