Question

1. which trig ratio would you use to solve for the missing side?

a) sine
b) cosine
c) tangent

1. which trig ratio would you use to solve for the missing side?

a) sine
b) cosine
c) tangent

Explanation:

Step1: Recall trig - ratio definitions

Sine is $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, cosine is $\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$, and tangent is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Analyze question 7

In a right - triangle, if we know an angle and the side adjacent to it and we want to find the side opposite to it, we use the tangent ratio $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step3: Analyze question 8

If we know an angle, the hypotenuse, and we want to find the side adjacent to the angle, we use the cosine ratio $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Answer:

1. c) Tangent
2. b) Cosine