Answer:
<h2>a₈ = 1</h2>
Step-by-step explanation:

Answer:
See Below.
Step-by-step explanation:
Problem A)
We have:

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.
So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

Cancel:

Let 1/cosθ = secθ:

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

Problem B)
We have:

Factor out a sine:

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

Distribute:

Problem C)
We have:

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

Cancel:

By definition:

Answers may vary here are all the possible answers:
(R) = red
(G)= green
12 (R) 1 (G)
11 (R) 2 (G)
10 (R) 3 (G)
9 (R) 4 (G)
8 (R) 5 (G)
7 (R) 6 (G)
Answer:
See below
Step-by-step explanation:
