Trigonometry Practice

Front

What is the definition of Sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of Cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of Tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the formula for finding the sine of an angle?

Back

sin(θ) = Opposite / Hypotenuse.

Front

What is the formula for finding the cosine of an angle?

Back

cos(θ) = Adjacent / Hypotenuse.

Front

What is the formula for finding the tangent of an angle?

Back

tan(θ) = Opposite / Adjacent.

Front

If sin(θ) = 0.5, what is the angle θ?

Back

θ = 30° or θ = 150°.

Front

If cos(θ) = 0.6, what is the angle θ?

Back

θ = 53.13° or θ = 306.87°.

Front

If tan(θ) = 1, what is the angle θ?

Back

θ = 45° or θ = 225°.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.