Unit 4 Trig SOHCAHTOA Review

Front

What is SOHCAHTOA?

Back

A mnemonic to remember the definitions of sine, cosine, and tangent: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

What is the sine of an angle?

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine of an angle?

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent of an angle?

Back

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

Front

If sin(θ) = 0.5, what is the opposite side if the hypotenuse is 10?

Back

The opposite side is 5 (0.5 = opposite/10, so opposite = 0.5 * 10).

Front

If cos(θ) = 0.6, what is the adjacent side if the hypotenuse is 12?

Back

The adjacent side is 7.2 (0.6 = adjacent/12, so adjacent = 0.6 * 12).

Front

If tan(θ) = 1, what is the ratio of the opposite side to the adjacent side?

Back

The ratio is 1:1, meaning the opposite and adjacent sides are equal.

Front

What is the formula to find the missing side using tangent?

Back

tan(θ) = opposite/adjacent.

Front

How do you find the angle if you know the opposite and adjacent sides?

Back

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

Front

What is the relationship between sine, cosine, and tangent?

Back

Tangent can be expressed as the ratio of sine to cosine: tan(θ) = sin(θ)/cos(θ).