Flashcard No. 7.1-7.2 in Geometry (Trigonometric Ratios )

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 ratios in a right triangle: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

When can we use SOH-CAH-TOA?

Back

We can use SOH-CAH-TOA for right triangles only.

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

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

Back

To find a missing angle, use the inverse functions: angle = sin^{-1}(opposite/hypotenuse), cos^{-1}(adjacent/hypotenuse), or tan^{-1}(opposite/adjacent).

Front

What is the formula for finding the angle using sine?

Back

The formula is: angle = sin^{-1}(opposite/hypotenuse).

Front

What is the formula for finding the angle using cosine?

Back

The formula is: angle = cos^{-1}(adjacent/hypotenuse).

Front

What is the formula for finding the angle using tangent?

Back

The formula is: angle = tan^{-1}(opposite/adjacent).

Front

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

Back

The sine of the angle is sin(angle) = 5/13.