Understanding Trigonometric Functions in Right Triangles

What is the sine of an angle in a right triangle defined as?

• The ratio of the adjacent side to the hypotenuse

• The ratio of the opposite side to the hypotenuse

• The ratio of the opposite side to the adjacent side

• The ratio of the hypotenuse to the opposite side

Which of the following is true about the input and output of trigonometric functions?

• The input is a side length and the output is an angle

• The input is an angle and the output is a side length

• The input is an angle and the output is a ratio of sides

• The input is a ratio of sides and the output is an angle

If the sine of angle H is 4/5, what is the cosine of angle F in the same triangle?

• 1

• 5/4

• 4/5

• 3/5

What happens to the trigonometric ratios if a triangle is scaled up or down?

• The ratios become undefined

• The ratios remain the same

• The ratios decrease

• The ratios increase

In a 45-45-90 triangle, what is the sine of a 45-degree angle?

• 1/√2

• 1/2

• 1

• √2

Why is it important to set your calculator to degrees when calculating trigonometric functions?

• To avoid errors in algebraic calculations

• Because radians are not used in trigonometry

• Because degrees are easier to understand

• To ensure the output is in the correct unit

What is the exact value of sine 45 degrees in fraction form?

• 1

• 1/2

• 1/√2

• √2/2

How are sine and cosine related in a right triangle?

• Sine is always greater than cosine

• Sine and cosine are always equal

• Cosine of one angle is equal to the sine of the other angle

• Sine of one angle is equal to the sine of the other angle

What is a co-function identity in trigonometry?

• An identity that relates cosine and tangent

• An identity that relates sine and tangent

• An identity that relates sine and cosine

• An identity that relates all three functions

In a right triangle, if sine of beta is B/C, what is cosine of alpha?

• A/C

• A/B

• C/B

• B/C