Trigonometry Ratios flashcardziz

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH CAH TOA is a mnemonic to remember the definitions of the sine, cosine, and tangent ratios: - SOH: Sine = Opposite / Hypotenuse - CAH: Cosine = Adjacent / Hypotenuse - TOA: Tangent = Opposite / Adjacent

Tags

CCSS.HSG.SRT.C.6

Front

Define the sine ratio in a right triangle.

Back

The sine ratio of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the hypotenuse: Sine(A) = Opposite / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define the cosine ratio in a right triangle.

Back

The cosine ratio of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: Cosine(A) = Adjacent / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define the tangent ratio in a right triangle.

Back

The tangent ratio of an angle in a right triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side: Tangent(A) = Opposite / Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

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

Back

Sine = Opposite / Hypotenuse = 3 / 5 = 0.6.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

Cosine = Adjacent / Hypotenuse = 4 / 5 = 0.8.

Tags

CCSS.HSG.SRT.C.6

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

Tangent = Opposite / Adjacent = 3 / 4 = 0.75.

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship can be expressed as: Tangent(A) = Sine(A) / Cosine(A).

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the angle using the sine ratio?

Back

To find the angle, use the inverse sine function: Angle = sin^(-1)(Opposite / Hypotenuse).

Tags

CCSS.HSG.SRT.C.8