Exam 5: Introduction to Trigonometric Functions

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

State the exact value of . A diagram may help.

Use steps I through IV given in Section 3 to draw a sketch of y = sin t for t $\in$ .

A 3-foot pole casts a shadow of 4 feet. How tall is a tree with a shadow of 14 feet?

State the value of t without the use of a calculator, given t $\in$ [0, 2?) terminates in QIII. tan t = 1

A person is standing 250 feet from a building. The angle of elevation to the top of the building is 69.9°. How tall is the building?

In the triangle below, a = 19.00 m. Solve the triangle and write the answer in table form. Round sides to the nearest hundredth of a unit.

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

Find the reference angle associated with the rotation.

Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). -Give the model for the data.

State the exact value of cos 0. A diagram may help.

Complementary angles sum to _____.

Use the symmetry of the circle and reference arcs as needed to state the exact value of tan 0. A diagram may help.

Name the reference angle $\theta$ _r for $\theta$ = 145°.

Use a calculator to find the acute angle A whose corresponding ratio is given. Round to the nearest tenth of a degree. sin A = 0.9746

Convert from DMS (degree/minute/sec) notation to decimal degrees. 114°45′

Use the formula for arc length to find the value of the unknown quantity: s = r $\theta$ . $\theta$ = 2.1; r = 220 ft.

Convert from decimal degrees to DMS (degree/minute/sec) notation. Round to the nearest second. 8.3503°

Find the exact value of sin $\theta$ , cos $\theta$ , and tan $\theta$ using reference angles. $\theta$ = -240°

Name the reference angle $\theta$ _r for $\theta$ = 225°.