<u>Given</u>:
Given that we need to prove the identity 
<u>Proof</u>:
Step 1: Factor out the common term sin x, we get;

Step 2: Using the identity 

Step 3: Reciprocating sec x, we get;

Step 4: Splitting the denominator, we have;

Simplifying, we get;

Thus, the identity is proved.
Answer:
The answer to your question is 14.5 weeks
Step-by-step explanation:
Data
Total cost = C = $87
money earned = m = $6
Number of weeks to have the money = w = ?
Process
1.- Write an equation that represents the situation
Weeks = Total cost / Money earned
w = C/m
2.- Substitute the values
w = 87 / 6
3.- Result
w = 14.5
4.- Conclusion
Niki will last 14.5 weeks to have enough money to buy a dog bed.
Answer:
$3.30
Step-by-step explanation: