Trigonometric Ratios and Right Triangles

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

Define Sin A in terms of a right triangle.

Back

Sin A = Opposite side / Hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

Cosine ratio = Adjacent side / Hypotenuse.

Front

How do you set up the equation to find the length of a side using cosine?

Back

cos(θ) = Adjacent / Hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

Tangent ratio = Opposite side / Adjacent side.

Front

How do you set up the equation to find the length of a side using tangent?

Back

tan(θ) = Opposite / Adjacent.

Front

What is the value of tan(C) if the opposite side is 24 and the adjacent side is 7?

Back

tan(C) = 24 / 7.

Front

What is the value of sin(37°) if the opposite side is 8 and the hypotenuse is 17?

Back

sin(37°) = 8 / 17.

Front

What is the value of cos(37°) if the adjacent side is 14 and the hypotenuse is 14?

Back

cos(37°) = 14 / 14 = 1.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse.