Trig functions

Front

What is the definition of sine (sin) 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 (cos) 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 (tan) 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

If sinA = 32/40, what is the value of A?

Back

A = arcsin(32/40) or approximately 48.59 degrees.

Front

If tanX = 32/24, what is the value of X?

Back

X = arctan(32/24) or approximately 53.13 degrees.

Front

Calculate sin(30 degrees).

Back

sin(30 degrees) = 1/2.

Front

Calculate cos(60 degrees).

Back

cos(60 degrees) = 1/2.

Front

Calculate tan(45 degrees).

Back

tan(45 degrees) = 1.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²A + cos²A = 1.

Front

If cosA = 30/34, what is sinA?

Back

sinA = √(1 - (30/34)²) = 24/34.