04/22 SOHCAHTOA

Front

What does SOHCAHTOA stand for?

Back

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

Front

How do you find the sine of an angle?

Back

To find the sine of an angle, use 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

The cosine of an angle 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

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you use inverse trigonometric functions?

Back

Inverse trigonometric functions (like sin⁻¹, cos⁻¹, tan⁻¹) are used to find the angle when the lengths of the sides are known.

Front

What is the formula for finding the missing side using sine?

Back

The formula is: sin(angle) = opposite/hypotenuse.

Front

What is the formula for finding the missing side using cosine?

Back

The formula is: cos(angle) = adjacent/hypotenuse.

Front

What is the formula for finding the missing side using tangent?

Back

The formula is: tan(angle) = opposite/adjacent.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in degrees) because sine is positive in the first and second quadrants.

Front

If cos(θ) = 0.6, what is θ?

Back

θ = 53.13° or 306.87° (in degrees) because cosine is positive in the first and fourth quadrants.