Trigonometric Functions and Their Properties

Mr. Backer introduces right triangle trigonometry, focusing on angle theta. He explains basic trigonometric functions: sine, cosine, and tangent, and their reciprocal functions: cosecant, secant, and cotangent. Using a 3-4-5 triangle, he demonstrates how to calculate these functions. Finally, he shows how to find all trigonometric ratios when given the sine of an angle, using the Pythagorean theorem to find missing sides.

What is the side opposite to the right angle in a right triangle called?

• Adjacent

• Opposite

• Hypotenuse

• Base

In a right triangle, which side is directly across from the angle theta?

• Base

• Hypotenuse

• Opposite

• Adjacent

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

• Opposite over Adjacent

• Hypotenuse over Opposite

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

How is the cosine of an angle in a right triangle defined?

• Hypotenuse over Opposite

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Opposite over Adjacent

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

• Hypotenuse over Opposite

• Opposite over Adjacent

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

What is the reciprocal of the sine function called?

• Tangent

• Cotangent

• Cosecant

• Secant

What is the reciprocal of the cosine function?

• Tangent

• Cotangent

• Cosecant

• Secant

What is the reciprocal of the tangent function?

• Secant

• Cosecant

• Cotangent

• Tangent

In a triangle with sides 3, 4, and 5, what is the sine of angle theta?

• 3/5

• 5/3

• 4/5

• 5/4

For the same triangle, what is the cosine of angle theta?

• 5/4

• 4/5

• 5/3

• 3/5