Finding Missing Angles using Inverse Trig Ratios

Front

What is the definition of inverse trigonometric functions?

Back

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

Front

What does SOH CAH TOA stand for?

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.

Front

How do you find the missing angle using sine?

Back

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

Front

How do you find the missing angle using cosine?

Back

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

Front

How do you find the missing angle using tangent?

Back

To find the missing angle using tangent, use the formula: angle = tan^-1(opposite/adjacent).

Front

What is the range of the inverse sine function?

Back

The range of the inverse sine function (sin^-1) is [-90°, 90°].

Front

What is the range of the inverse cosine function?

Back

The range of the inverse cosine function (cos^-1) is [0°, 180°].

Front

What is the range of the inverse tangent function?

Back

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

Front

If sin(θ) = 0.5, what is θ?

Back

θ = sin^-1(0.5) = 30°.

Front

If cos(θ) = 0.6, what is θ?

Back

θ = cos^-1(0.6) ≈ 53.13°.