Quiz No. 5 - Introduction to Trigonometric Functions

In a right-angled triangle, which side is always opposite the 90 angle?

• Opposite Side

• Adjacent Side

• Hypotenuse

• Base

Which trigonometric ratio is defined as the length of the Opposite side divided by the length of the Hypotenuse?

• Cosine (CAH)

• Tangent (TOA)

• Sine (SOH)

• Secant

If you use the mnemonic CAH, which ratio are you calculating?

• Sine

• Cosine

• Tangent

• Cosecant

Which side is used in the definition of both the Sine and the Cosine ratios?

• Adjacent Side

• Opposite Side

• Hypotenuse

• Angle 𝛳

In ΔABC (right-angled at B), if you are finding tan A, which sides are used?

• Hypotenuse / Opposite

• Adjacent / Hypotenuse

• Hypotenuse / Adjacent

• Opposite / Adjacent

Given a right triangle where the Opposite side is 7 and the Adjacent side is 10, which equation correctly finds the angle 𝛳?

• sin 𝛳 = 7/10

• cos 𝛳 = 10/7

• tan 𝛳 = 10/7

• tan 𝛳 = 7/10

A student is using the equation cos(45°) = x/20. Which sides of the triangle are involved?

• Opposite and Hypotenuse

• Opposite and Adjacent

• Adjacent and Hypotenuse

• Only Adjacent

The angle of elevation to the top of a tree is measured from a distance on the ground. Which trigonometric ratio would be most appropriate if you know the tree's height and want to find the distance you are standing from its base?

• Sine

• Cosine

• Tangent

• Secant

If sin 𝛳 = 0.5, which statement about the triangle is true?

• The Opposite side is half the Adjacent side.

• The Adjacent side is half the Hypotenuse.

• The Opposite side is half the Hypotenuse.

• The Hypotenuse is half the Opposite side.

The side that is next to the reference angle (𝛳) but is not the Hypotenuse is called the:

• Base

• Adjacent Side

• Opposite Side

• Right Side