Question

1. which trig ratio would you use to solve for the missing side? a) sine b) cosine c) tangent 6. 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 problem 5

In the first right - triangle, if we know an angle and one side and want to find another side, without knowing which sides are given exactly, but if we assume we know the side adjacent to the $35^{\circ}$ angle and want to find the opposite side, we use the tangent ratio $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step3: Analyze problem 6

Similarly, for the second right - triangle, without knowing exactly which sides are given, but if we consider the relationship between the sides with respect to the given angle, if we know the adjacent side to the given non - right angle and want to find the opposite side, we use the tangent ratio.

Answer:

1. c) Tangent
2. c) Tangent