Performance Task: Trigonometric Identities — Unit test Answers

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

What is the exact value of sin(264°)cos(6°) + cos(264°)sin(6°)?

Which equation represents a true sine ratio in ?

Which expression is equivalent to tan(x – )?

Which shows all the exact solutions of ? Give your answer in radians.

Two trains leave a station on different tracks. The tracks make an angle of 130°, with the station as a vertex. The first train travels 100 km and makes its first stop at point A, while the second train travels 200 km and makes it first stop at point B. How far apart are the trains when both are at their first stop? Round the answer to the nearest integer. [Not drawn to scale]

Which is equivalent to ? Give your answer in radians.

Review the proof of .tan(A – B) =Step 1: Step 2: Step 3: Step 4:

Suppose and cos(x) < 0. What the value of cos(2x)?

The angle measures in a triangle are in the ratio 1:3:5. The longest side of the triangle measures 5 inches. What is the approximate perimeter of the triangle?

Trigonometric area formula: Area =

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.Trigonometric area formula: Area =

What are the possible remaining angle measures in triangle ABC with ?

According to your graphing calculator, what is the approximate solution to the trigonometric inequality over the interval radians?

Let where 0° ≤ x ≤ 180°. What are the possible values for x?

What is the exact value of

Solve: over the interval .

Triangle XYZ has vertices X(–1, –1), Y(–2, 1), and Z(1, 2). What is the approximate measure of angle Z?

A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus?

For 0° ≤ x < 360°, what are the solutions to cos – sin(x) = 0?