SOHCAHTOA RATIOS

Front

What does SOHCAHTOA stand for?

Back

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

Front

What is the sine ratio?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent ratio?

Back

The tangent ratio is defined as 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 θ?

Back

θ = 30° (in a right triangle, sin 30° = 0.5).

Front

If cos θ = 0.6, what is θ?

Back

θ = 53.13° (approximately, since cos 53.13° = 0.6).

Front

If tan θ = 1, what is θ?

Back

θ = 45° (in a right triangle, tan 45° = 1).

Front

How do you find the length of the opposite side using sine?

Back

Use the formula: Opposite = Hypotenuse × sin(θ).

Front

How do you find the length of the adjacent side using cosine?

Back

Use the formula: Adjacent = Hypotenuse × cos(θ).

Front

How do you find the length of the opposite side using tangent?

Back

Use the formula: Opposite = Adjacent × tan(θ).