Inverse Trig Ratios

Front

What are inverse trigonometric ratios?

Back

Inverse trigonometric ratios are functions that determine the angle whose trigonometric ratio is known. They include sin^-1, cos^-1, and tan^-1.

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula for finding an angle using the tangent ratio?

Back

x = tan^-1(opposite/adjacent) where 'opposite' is the length of the side opposite the angle and 'adjacent' is the length of the side next to the angle.

Tags

CCSS.HSG.SRT.C.8

Front

How do you use inverse sine to find an angle?

Back

To find an angle using inverse sine, use the formula: x = sin^-1(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between sine and cosine in a right triangle?

Back

In a right triangle, sine and cosine are related by the equation: sin(θ) = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7

Front

What is the range of the inverse tangent function?

Back

The range of the inverse tangent function (tan^-1) is (-π/2, π/2) or (-90°, 90°).

Tags

CCSS.HSF-BF.B.4D

Front

How do you find the angle using the cosine ratio?

Back

To find an angle using the cosine ratio, use the formula: x = cos^-1(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is SOH CAH TOA?

Back

SOH CAH TOA is a mnemonic for remembering the definitions of sine, cosine, and tangent: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

What is the value of tan^-1(1)?

Back

The value of tan^-1(1) is 45° or π/4 radians.

Tags

CCSS.HSF.TF.B.7

Front

How do you round an angle to the nearest tenth?

Back

To round an angle to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.HSF.TF.A.1

Front

What is the formula for finding an angle using the sine ratio?

Back

To find an angle using the sine ratio, use the formula: x = sin^-1(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8