Unit Test Answers

What is the exact value of tan ?

A tree is growing on a hill. In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground. The wire is anchored to the ground 10 feet from the base of the tree. At what angle is the tree growing in relation to the hill?

Review the proof of cos(A - B) = cosAcosB + sinAsinB.Step 1: Step 2: Step 3: Step 4: Step 5:Step 6:Step 7:

Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of the largest angle in the triangle?

What is the solution to the trigonometric inequality over the interval radians?

Which pair of equations below is a result of constructing the altitude, h, in ?

Which shows a correct simplification of sin(x + )?

Jamal draws triangle XYZ. If what is the approximate length of XY?

Review the diagram of the unit circle.

Which statement is true about the graph of the equation ?

For what values of x is the trigonometric equation tan(x − 180°) − sin(x − 180°) = 0, where 0 ≤ x < 360°, true?

Which expression is equivalent to ?

What is the value of 1 − 2sin2(105°)?

Which equation could be used to solve for the measure of side q in shown below, given s = 15, S = 45°, and Q = 105°? [Not drawn to scale]

What are the solutions to the equation over the interval [0, 2]?