Trigonometric Functions and Relationships

This video tutorial covers trigonometric ratios and complementary angles, focusing on right triangles. It explains how to calculate the sine and cosine of acute angles and introduces the concept of cofunctions. The video also demonstrates solving algebraic equations using trigonometric relationships and concludes with a preview of the next lesson on inverse functions.

What is the sum of complementary angles in a right triangle?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

If one acute angle in a right triangle is 43 degrees, what is the measure of the other acute angle?

• 37 degrees

• 33 degrees

• 47 degrees

• 53 degrees

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

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Adjacent over opposite

• Hypotenuse over opposite

How do you simplify the ratio 6/10?

• 3/5

• 2/5

• 5/6

• 4/5

What is the relationship between the sine of an angle and the cosine of its complement?

• They are equal

• They add up to 180 degrees

• They are opposites

• They are unrelated

If the sine of 42 degrees is equal to the cosine of which angle?

• 48 degrees

• 38 degrees

• 52 degrees

• 58 degrees

What is the cosine of 36 degrees in terms of sine?

• Sine of 45 degrees

• Sine of 90 degrees

• Sine of 36 degrees

• Sine of 54 degrees

What is the sum of angles in a triangle according to the triangle sum theorem?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If 2x - 4 degrees and 3x + 9 degrees are complementary, what is the value of x?

• 19

• 21

• 17

• 15

What is the measure of the angle 2x - 4 when x equals 17?

• 40 degrees

• 60 degrees

• 50 degrees

• 30 degrees