Unit Test Answers

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

Which expression is equivalent to tan(x – )?

What is expressed as a single trigonometric ratio?

What is the exact value of

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

Review the proof.

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

Which is equivalent to ? Give your answer in radians.

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

Solve: over the interval .

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

Review the incomplete steps in the derivation of the tangent sum identity.Which action can be taken to the expression in Step 3 to give an expression for Step 4?

Given: What is the value of ?

Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?

Which expression is equivalent to (1 + cos(x))2?

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

An object is attached to a spring that is stretched and released. The equation models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.

Which values represent solutions to the equation? where x [0, ]

What is the range of ?

Review the following derivation of the tangent double angle identity. The steps are not listed in the correct order.

Review the steps of the proof.Step 1: Step 2: Step 3: Step 4:

Which is equivalent to sin-1(0.75)? Round your answer to the nearest hundredth of a radian.

Which numbers complete the blanks when solving the equation over the interval [0, 2]?

Review the proof (not in order) of the identity.

What is the exact value of tan