You know that two expressions are equivalent when if you substitute in your values and simply the expressions, they have the same answer.
The answer is D. All the opposite sides are congruent.
Step-by-step explanation:
cot x / (1 + csc x)
Multiply by conjugate:
cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)
Distribute the denominator:
cot x (1 − csc x) / (1 − csc²x)
Use Pythagorean identity:
cot x (1 − csc x) / (-cot²x)
Divide:
(csc x − 1) / cot x
Answer:
12 and 1/2 (12.5)
Step-by-step explanation: