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.

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.

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.

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.

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.

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.

Front

What is the value of Sin 45 degrees?

Back

Sin 45 degrees = √2/2.

Front

What is the value of Cos 45 degrees?

Back

Cos 45 degrees = √2/2.

Front

What is the value of Tan 45 degrees?

Back

Tan 45 degrees = 1.

Front

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

Back

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