Finding Missing Angles using Inverse Trig Ratios

Front

What does SOH CAH TOA stand for in trigonometry?

Back

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

Front

How do you find the missing angle using inverse trigonometric ratios?

Back

Use the inverse functions: sin⁻¹, cos⁻¹, or tan⁻¹ on the ratio of the sides.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in degrees).

Front

If cos(θ) = 0.6, how do you find θ?

Back

θ = cos⁻¹(0.6) which is approximately 53.13°.

Front

What is the range of angles for the sine function?

Back

The range is from -1 to 1, corresponding to angles from -90° to 90°.

Front

What is the range of angles for the cosine function?

Back

The range is from -1 to 1, corresponding to angles from 0° to 360°.

Front

What is the tangent of an angle?

Back

Tangent is the ratio of the opposite side to the adjacent side in a right triangle.

Front

If tan(θ) = 1, what is θ?

Back

θ = 45°.

Front

How do you round an angle to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the formula to find the angle using the sine ratio?

Back

θ = sin⁻¹(opposite/hypotenuse).