Geometry Test Involving Trigonometric Ratios, Angles, Sides

Front

What is the ratio for Tangent?

Back

Opposite/Adjacent (Opp/Adj)

Front

What is the ratio for Cosine?

Back

Adjacent/Hypotenuse (Adj/Hyp)

Front

What is the ratio for Sine?

Back

Opposite/Hypotenuse (Opp/Hyp)

Front

Solve for x: If sinZ = 5/13, what is the value of Z?

Back

Z = arcsin(5/13) or approximately 22.6°

Front

Find the measure of the missing angle in a right triangle if one angle is 41°.

Back

49° (90° - 41° = 49°)

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

If tan(θ) = 3/4, what are the lengths of the opposite and adjacent sides?

Back

Opposite = 3k, Adjacent = 4k for some k.

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Front

If the hypotenuse is 10 and one side is 6, what is the length of the other side?

Back

Using Pythagorean theorem: Other side = √(10² - 6²) = √64 = 8.

Front

What is the sine of a 30° angle?

Back

sin(30°) = 1/2.