Understanding Trigonometric Ratios of Complementary Angles

The video tutorial explains the relationship between sine and cosine ratios of complementary angles in a right-angled triangle. It demonstrates that the sine of an angle equals the cosine of its complementary angle and vice versa. An example problem is provided to illustrate these concepts, showing how to find the value of an angle using these relationships. The tutorial concludes by summarizing the key points about complementary angles and their trigonometric properties.

What is the relationship between sine and cosine for complementary angles?

• Sine of an angle is equal to the cosine of its complementary angle.

• Sine and cosine of complementary angles are unrelated.

• Cosine of an angle is equal to the cosine of its complementary angle.

• Sine of an angle is equal to the sine of its complementary angle.

In a right-angled triangle, if angle A is 30 degrees, what is angle B?

• 60 degrees

• 90 degrees

• 45 degrees

• 30 degrees

How do you calculate the sine of an angle in a right-angled triangle?

• Adjacent side divided by hypotenuse

• Hypotenuse divided by opposite side

• Adjacent side divided by opposite side

• Opposite side divided by hypotenuse

If the sine of angle A is 0.6, what is the cosine of its complementary angle B?

• 0.4

• 0.6

• 0.8

• 1.0

What is the cosine of 53 degrees if sine of 47 degrees equals cos A?

• 47 degrees

• 90 degrees

• 37 degrees

• 53 degrees

In a right-angled triangle, if angle A is 40 degrees, what is the sine of angle B?

• Sine of 40 degrees

• Cosine of 40 degrees

• Sine of 50 degrees

• Cosine of 50 degrees

What is the sum of angles A and B in a right-angled triangle?

• 45 degrees

• 60 degrees

• 90 degrees

• 180 degrees