Trig Ratios

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 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 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

If the adjacent side is 4 and the hypotenuse is 5, what is cos A?

Back

cos A = 4/5.

Front

If the opposite side is 3 and the adjacent side is 4, what is tan A?

Back

tan A = 3/4.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the sine ratio for angle A if the opposite side is 6 and the hypotenuse is 10?

Back

sin A = 6/10 = 3/5.

Front

Which trig function would you use to find the length of the opposite side if you know the adjacent side and the angle?

Back

You would use the tangent function.

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(90° - A) = cos A.

Front

If angle B is 30°, what is the value of sin B?

Back

sin 30° = 1/2.