Trigonometric Ratios (SOHCAHTOA)

Front

What does SOHCAHTOA stand for?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of the sine, cosine, and tangent ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

What is the sine ratio?

Back

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

Front

What is the cosine ratio?

Back

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

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the length of the opposite side divided by the length of the adjacent side in a right triangle.

Front

In a right triangle, if the angle is 30 degrees, what is the sine of that angle?

Back

The sine of 30 degrees is 0.5.

Front

In a right triangle, if the angle is 60 degrees, what is the cosine of that angle?

Back

The cosine of 60 degrees is 0.5.

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

The tangent of the angle is 3/4 or 0.75.

Front

What type of triangles can SOHCAHTOA be applied to?

Back

SOHCAHTOA can only be applied to right triangles.

Front

If sine(θ) = 0.5, what is θ?

Back

θ = 30 degrees or 150 degrees.

Front

If cosine(θ) = 0.77, what is θ?

Back

θ ≈ 40 degrees.