Trig Ratios Missing Angles

Front

What is the definition of a Trigonometric Ratio?

Back

A Trigonometric Ratio is a ratio of the lengths of two sides of a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for Sine (sin)?

Back

sin(θ) = Opposite side / Hypotenuse

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for Cosine (cos)?

Back

cos(θ) = Adjacent side / Hypotenuse

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula for Tangent (tan)?

Back

tan(θ) = Opposite side / Adjacent side

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the missing angle using the sine ratio?

Back

Use the formula: θ = sin⁻¹(Opposite side / Hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the missing angle using the cosine ratio?

Back

Use the formula: θ = cos⁻¹(Adjacent side / Hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the missing angle using the tangent ratio?

Back

Use the formula: θ = tan⁻¹(Opposite side / Adjacent side).

Tags

CCSS.HSG.SRT.C.8

Front

What is the range of values for sine and cosine?

Back

The range of values for sine and cosine is between -1 and 1.

Tags

CCSS.HSF.TF.A.4

Front

What is the range of values for tangent?

Back

The range of values for tangent is all real numbers.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in degrees).

Tags

CCSS.HSF.TF.B.7