Understanding Trigonometric Ratios

What is the sine ratio in a right triangle?

• sin(θ) = opposite / adjacent

• sin(θ) = opposite / hypotenuse

• sin(θ) = hypotenuse / opposite

• sin(θ) = adjacent / hypotenuse

Define the cosine ratio in terms of a right triangle.

• cos(θ) = opposite/hypotenuse

• cos(θ) = adjacent/hypotenuse

• cos(θ) = adjacent/opposite

• cos(θ) = hypotenuse/adjacent

What is the tangent ratio for an angle in a right triangle?

• Tangent ratio = opposite side / adjacent side

• Tangent ratio = adjacent side / hypotenuse

• Tangent ratio = opposite side / hypotenuse

• Tangent ratio = hypotenuse / adjacent side

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

• 0.4

• 0.8

• 0.6

• 1.0

Calculate the cosine of an angle if the adjacent side is 4 and the hypotenuse is 5.

• 1.0

• 0.8

• 0.6

• 0.5

If the opposite side is 6 and the adjacent side is 8, what is the tangent of the angle?

• 0.75

• 1.5

• 1.2

• 0.5

What is the relationship between sine and cosine in a right triangle?

• Sine and cosine are the same function.

• Sine and cosine are related through the ratios of the sides of a right triangle and are complementary functions.

• Cosine is the ratio of the hypotenuse to the opposite side.

• Sine is always greater than cosine in a right triangle.

If sin(θ) = 0.5, what is the value of θ in degrees?

• 180°

• 0°

• 90°

• 30° and 150°

What is the value of tan(45°)?

• 1

• 2

• 1.5

• 0

If cos(θ) = 0.6, what is the length of the adjacent side if the hypotenuse is 10?

• 12

• 8

• 4

• 6