Trigonometric Ratios

Front

What is the definition of Sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of Cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of Tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding Sin X if the opposite side is 8 and the hypotenuse is 17?

Back

Sin X = Opposite/Hypotenuse = 8/17.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding Cos D if the adjacent side is 6 and the hypotenuse is 10?

Back

Cos D = Adjacent/Hypotenuse = 6/10.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding Tan X if the opposite side is 8 and the adjacent side is 15?

Back

Tan X = Opposite/Adjacent = 8/15.

Tags

CCSS.HSG.SRT.C.8

Front

What is the value of Sin 45 degrees?

Back

Sin 45 degrees = √2/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of Cos 45 degrees?

Back

Cos 45 degrees = √2/2.

Tags

CCSS.HSG.SRT.C.7

Front

What is the value of Tan 45 degrees?

Back

Tan 45 degrees = 1.

Tags

CCSS.HSG.SRT.C.7

Front

If Sin X = 15/17, what is the value of Cos X?

Back

Cos X = √(1 - Sin²X) = √(1 - (15/17)²) = 8/17.

Tags

CCSS.HSG.SRT.C.7