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:

Answer:12
Step-by-step explanation:
Answer:
0/8
Step-by-step explanation: i tried my best
ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:

Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:


This simplifies to:

Therefore $1413.81 will be in the account after 10 years.