6.9 flashcard solving triangles using trig

Front

What does SOH CAH TOA stand for in trigonometry?

Back

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

Front

How do you find the missing angle using inverse trigonometric ratios?

Back

Use the inverse functions: sin⁻¹, cos⁻¹, or tan⁻¹ on the ratio of the sides.

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle?

Back

Sine = Opposite/Hypotenuse = 5/13.

Front

If the adjacent side is 12 and the hypotenuse is 13, what is the cosine of the angle?

Back

Cosine = Adjacent/Hypotenuse = 12/13.

Front

If the opposite side is 5 and the adjacent side is 12, what is the tangent of the angle?

Back

Tangent = Opposite/Adjacent = 5/12.

Front

What is the formula to find the angle using sine?

Back

Angle = sin⁻¹(Opposite/Hypotenuse).

Front

What is the formula to find the angle using cosine?

Back

Angle = cos⁻¹(Adjacent/Hypotenuse).