Question

prove that LHS=RHS
in IP TEXT BOOK
​

Answer 1

Answer:

$1/sec^2\alpha =cos^2\alpha \\1-cos^2\alpha =sin^2\alpha \\2cos^2\alpha (1-1/sec^2\alpha )=2cos^2\alpha *sin^2\alpha \\\\(sin^2\alpha +cos^2\alpha )=1\\SquaringBothSide\\(sin^2\alpha +cos^2\alpha )^2=1^2\\sin^4\alpha +cos^4\alpha +2sin^2\alpha cos^2\alpha =1\\cos^4\alpha +2sin^2\alpha cos^2\alpha =1-sin^4\alpha \\cos^4\alpha +2cos^2\alpha (1-1/sec^2\alpha )=1-sin^4\alpha$

LHS = RHS

Proved......

Step-by-step explanation:

Hope it helps :-)