SOLUTION: Can you show me step by step how to get this done cos^2 theta

SOLUTION: Can you show me step by step how to get this done cos^2 theta - sin^2 theta/ 1-TAN THETA= COS^2THETA?

Question 859638: Can you show me step by step how to get this done cos^2 theta - sin^2 theta/ 1-TAN THETA= COS^2THETA?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you show me step by step how to get this done cos^2 theta - sin^2 theta/ 1-TAN THETA= COS^2THETA?
------------
[cos^2(t) - sin^2(t)]/[(1-tan(t)] = cos^(t)
Cross-multiply to get::
[cos^2(t)-sin^2(t)] = cos(t) - sin^(t)
-------
Divide both sides by cos(t)-sin(t) to get:
cos(t)+sin(t) = 0
cos(t) = -sin(t)
cos(t) = -cos(pi/2 -t)
t = pi/2 -t
2t = pi/2
t = pi/4
------------------
Cheers,
Stan H.
RELATED QUESTIONS
Prove that Sin(theta)times Cos(theta) divided by Cos^2(theta)-Sin^2(theta)=Tan(theta)... (answered by jim_thompson5910)

cos^2theta - sin^2theta --------------------------------divided by Cos^2theta + sin... (answered by mananth)

Find the exact value of sin theta, given tan theta < 0 and cos theta =2/9 Could you... (answered by Alan3354)

cos^2theta-sin^2theta/cos^2theta+sin theta cos theta=1-tan... (answered by greenestamps)

help the step by step process for this. establish the identity of sec theta over tan... (answered by jsmallt9)

cos^2(theta)sec^2(theta)-[cos^2theta+sin^2theta] (answered by mananth)

Given that tan(theta)=5/4 , pi< theta < 3pi/2, find sin(2theta), cos(2theta),... (answered by lwsshak3)

Please help me answer this question: For all valuesof "theta", the expression... (answered by stanbon)

if tan theta=10/7, and if cos theta <0 then, sec theta= cos theta= sin theta= tan... (answered by Alan3354)