Topic 67 Inverse SOH CAH TOA

Front

What does SOH CAH TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

How do you find the angle using the sine function?

Back

Use the inverse sine function: m∠A = sin⁻¹(opposite/hypotenuse).

Front

How do you find the angle using the cosine function?

Back

Use the inverse cosine function: m∠A = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the angle using the tangent function?

Back

Use the inverse tangent function: m∠A = tan⁻¹(opposite/adjacent).

Front

If the opposite side is 3 and the hypotenuse is 5, what is m∠A using sine?

Back

m∠A = sin⁻¹(3/5) ≈ 36.87°.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is m∠A using cosine?

Back

m∠A = cos⁻¹(4/5) ≈ 36.87°.

Front

If the opposite side is 3 and the adjacent side is 4, what is m∠A using tangent?

Back

m∠A = tan⁻¹(3/4) ≈ 36.87°.

Front

What is the range of the inverse sine function?

Back

The range of the inverse sine function is [-90°, 90°].

Front

What is the range of the inverse cosine function?

Back

The range of the inverse cosine function is [0°, 180°].

Front

What is the range of the inverse tangent function?

Back

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