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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

sin(θ) = Opposite / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

cos(θ) = Adjacent / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

tan(θ) = Opposite / Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

If sin(θ) = 0.5, what is the angle θ?

Back

θ = 30° or θ = 150°.

Tags

CCSS.HSF.TF.B.7

Front

If cos(θ) = 0.6, what is the angle θ?

Back

θ = 53.13° or θ = 306.87°.

Tags

CCSS.HSF.TF.B.7

Front

If tan(θ) = 1, what is the angle θ?

Back

θ = 45° or θ = 225°.

Tags

CCSS.HSF.TF.B.7

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Tags

CCSS.HSF.TF.C.8