Trigonometry Test review

Front

What is the measure of angle A in a triangle if the other two angles are 58 degrees and 61 degrees?

Back

Angle A = 180 - (58 + 61) = 61 degrees.

Front

What is the amplitude of the function y = 3sin(x)?

Back

Amplitude = 3.

Front

Find x if sin(x) = 0.5 and x is in degrees.

Back

x = 30 degrees or 150 degrees.

Front

What is the amplitude of the function y = -5cos(1/2x + π)?

Back

Amplitude = 5.

Front

What is the period of the function y = 2sin(4x)?

Back

Period = 2π/4 = π/2.

Front

What is the range of the function y = 3sin(x) - 2?

Back

Range = [-2 - 3, -2 + 3] = [-5, 1].

Front

What is the value of cos(0 degrees)?

Back

cos(0 degrees) = 1.

Front

What is the value of sin(90 degrees)?

Back

sin(90 degrees) = 1.

Front

If tan(x) = 1, what are the possible values of x in degrees?

Back

x = 45 degrees + n*180 degrees, where n is an integer.

Front

What is the formula for the sine of a sum of angles?

Back

sin(A + B) = sin(A)cos(B) + cos(A)sin(B).