Right Triangle (SOH-CAH-TOA) Review

Front

What does SOH-CAH-TOA stand for?

Back

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

Front

What is the sine function used for in a right triangle?

Back

The sine function is used to find the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function used for in a right triangle?

Back

The cosine function is used to find the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function used for in a right triangle?

Back

The tangent function is used to find the ratio of the length of the opposite side to the length of the adjacent side.

Front

In a right triangle, if the opposite side is 3 cm and the adjacent side is 4 cm, what is the tangent of the angle?

Back

tan(angle) = Opposite/Adjacent = 3/4 = 0.75.

Front

If the hypotenuse of a right triangle is 10 cm and the opposite side is 6 cm, what is the sine of the angle?

Back

sin(angle) = Opposite/Hypotenuse = 6/10 = 0.6.

Front

If the adjacent side of a right triangle is 8 cm and the hypotenuse is 10 cm, what is the cosine of the angle?

Back

cos(angle) = Adjacent/Hypotenuse = 8/10 = 0.8.

Front

What type of triangles can SOH-CAH-TOA be applied to?

Back

SOH-CAH-TOA can only be applied to right triangles.

Front

How do you find the missing angle in a right triangle using trigonometric functions?

Back

You can use the inverse trigonometric functions: sin⁻¹, cos⁻¹, or tan⁻¹ based on the sides you know.

Front

If one angle in a right triangle is 30 degrees, what is the measure of the other non-right angle?

Back

The other angle is 60 degrees, since the sum of angles in a triangle is 180 degrees.