Understanding Complementary Angles and Trigonometric Relationships

The video tutorial covers the concept of complementary angles, which are angles that add up to 90 degrees. It explains how these angles are used in right triangles, where the two non-right angles are complementary. The tutorial introduces the use of variables, such as Theta, to represent angles and demonstrates the relationship between the sine and cosine of complementary angles. It also includes solving equations involving complementary angles and provides practice problems to reinforce learning.

What is the sum of complementary angles?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

In a right triangle, what is the sum of the two acute angles?

• 45 degrees

• 90 degrees

• 180 degrees

• 60 degrees

If one angle is represented by Theta, how can you express its complementary angle?

• 90 - Theta

• 180 - Theta

• Theta - 90

• Theta + 90

What is the sine of an angle equal to in terms of its complementary angle?

• Cosine of the complementary angle

• Sine of the complementary angle

• Cosine of the same angle

• Tangent of the complementary angle

If the sine of angle A is equal to the cosine of angle B, what can be inferred about angles A and B?

• They are equal

• They are complementary

• They are congruent

• They are supplementary

Solve for x: x + 5 + 4x + 10 = 90. What are the two angles?

• 20 and 70 degrees

• 30 and 60 degrees

• 40 and 50 degrees

• 25 and 65 degrees

If 3x + 2 + x + 44 = 90, what is the value of x?

• 11

• 15

• 20

• 25

Which property is justified by the equation: sine of angle B = cosine of 90 - B?

• Angles are congruent

• Angles are supplementary

• Angles are complementary

• Angles are equal

Which pair of angles have equal trigonometric values if they are complementary?

• Sine and tangent

• Cosine and sine

• Tangent and cosine

• Sine and cosine

What should you do to ensure you understand the lesson on complementary angles?

• Copy the solutions

• Skip the exercises

• Watch the video once

• Solve the problems independently