Understanding Right Triangle Trigonometry

The video explores the properties of right triangles, focusing on the relationship between the sine and cosine of complementary angles. It explains how the sum of angles in a triangle is 180 degrees, with a right angle taking up 90 degrees, leaving the other two angles as complementary. The video demonstrates that the sine of an angle is equal to the cosine of its complement and vice versa, using examples and the SOHCAHTOA mnemonic to illustrate these trigonometric relationships.

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

• 60 degrees

• 45 degrees

• 90 degrees

• 180 degrees

If angle A in a right triangle is theta, what is angle B?

• 90 degrees

• 180 degrees minus theta

• Theta

• 90 degrees minus theta

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

• Cosine of the angle

• Sine of its complement

• Cosine of its complement

• Tangent of the angle

What trigonometric ratio is defined as adjacent over hypotenuse?

• Sine

• Cosine

• Tangent

• Secant

The cosine of an angle is equal to what in terms of its complement?

• Tangent of the angle

• Sine of its complement

• Cosine of its complement

• Sine of the angle

If the sine of 60 degrees is equal to the cosine of which angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 45 degrees

What is the cosine of 30 degrees equal to in terms of sine?

• Sine of 90 degrees

• Sine of 60 degrees

• Sine of 45 degrees

• Sine of 30 degrees

Which trigonometric identity is used to relate sine and cosine of complementary angles?

• Complementary angle identity

• Angle sum identity

• Pythagorean theorem

• Sohcahtoa

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

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over hypotenuse

• Adjacent over opposite

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

• Sine is greater than cosine

• Sine is less than cosine

• They are equal

• Sine of an angle equals cosine of its complement