Trigonometric Ratios

Front

What is the definition of Trigonometric Ratios?

Back

Trigonometric ratios are the ratios of the lengths of the sides of a right triangle. They are used to relate the angles of the triangle to the lengths of its sides.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for Sine?

Back

Sine (sin) = Opposite side / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for Cosine?

Back

Cosine (cos) = Adjacent side / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for Tangent?

Back

Tangent (tan) = Opposite side / Adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the value of sin(45°)?

Back

sin(45°) = √2/2.

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CCSS.HSG.SRT.C.7

Front

What is the value of cos(45°)?

Back

cos(45°) = √2/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Tags

CCSS.HSF.TF.A.2

Front

If tan(θ) = Opp/Adj, what does this imply about the triangle?

Back

It implies that the angle θ is formed by the opposite side and the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sin, cos, and tan?

Back

tan(θ) = sin(θ) / cos(θ).

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Tags

CCSS.HSF.TF.C.8