SOLUTION: How to simplify: tan^2 theta/sin^2 theta...do I plug in the sin/cos for tan and csc for sin? Help! Thanks.

Algebra ->  Test  -> Lessons -> SOLUTION: How to simplify: tan^2 theta/sin^2 theta...do I plug in the sin/cos for tan and csc for sin? Help! Thanks.      Log On


   



Question 428622: How to simplify: tan^2 theta/sin^2 theta...do I plug in the sin/cos for tan and csc for sin? Help! Thanks.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify: tan^2 theta/sin^2 theta
----
= [sin^2/cos^2]/sin^2
---
Invert the denominator and cancel:
---
= [sin^2/cos^2]
----
= 1/cos^2
= sec^2(theta)
===================
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Substitute for , and substitute for .

Invert and multiply, leaving you with . Then, recalling that the secant is the reciprocal of the cosine, finish by saying


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism