SOLUTION: verify identinty sec^4x � (tan^4x + sec^2x) = sec^2x � sin^2x

Question 433310: verify identinty
sec^4x � (tan^4x + sec^2x) = sec^2x � sin^2x

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sec^4x � (tan^4x + sec^2x) = sec^2x � sin^2x
sec^4x � tan^4x - sec^2x) = sec^2x*sin^2x = sin^2/cos^2
Multiply thru by cos^4 and change to sines & cosines
1 - sin^4 - cos^2 = sin^2cos^2
sin^2 - sin^4 = sin^2cos^2
Divide by sin^2
1 - sin^2 = cos^2
--------
Always change everything to sines and cosines.

RELATED QUESTIONS
prove the idenity true... (answered by lwsshak3)

verify the idenity sec^4x � sec^2x = tan^4x +... (answered by Edwin McCravy)

sec^4x � sec^2x = tan^4x +... (answered by Alan3354)

Show that tan^2x - sin^2x=sin^4x(sec^2x) Where x is an... (answered by Alan3354)

Show that... (answered by MathLover1)

Sec^2x-1/... (answered by Fombitz)

(1-sin^2x)(sec^2x) (answered by ikleyn)

sin^2x = [(sec^2x-1)(1-sin^4x)] / 1+... (answered by Alan3354)

I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+... (answered by solver91311)