trig functions

Front

What does SOH-CAH-TOA stand for?

Back

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

Front

What type of triangles can SOH-CAH-TOA be used for?

Back

SOH-CAH-TOA can only be used for right triangles.

Front

How do you find the sine of an angle in a right triangle?

Back

The sine of an angle is found by dividing the length of the side opposite the angle by the length of the hypotenuse.

Front

How do you find the cosine of an angle in a right triangle?

Back

The cosine of an angle is found by dividing the length of the side adjacent to the angle by the length of the hypotenuse.

Front

How do you find the tangent of an angle in a right triangle?

Back

The tangent of an angle is found by dividing the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

What is the value of sin(30°)?

Back

sin(30°) = 0.5.

Front

What is the value of cos(60°)?

Back

cos(60°) = 0.5.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Front

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

Back

sin(θ) = Opposite/Hypotenuse = 3/5 = 0.6.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?

Back

cos(θ) = Adjacent/Hypotenuse = 4/5 = 0.8.