Verify the identity.
1 + sec^2xsin^2x = sec^2x

Question

Verify the identity.
1 + sec^2xsin^2x = sec^2x

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

rewrite sec^2x  as  1/cos^2x

ganeshie8 · Answer

1 + sec^2xsin^2x

1 +  sin^2x / cos^2x

ganeshie8 · Answer

then put everythign as single fraction

ganeshie8 · Answer

1 + sec^2xsin^2x

1 +  sin^2x / cos^2x

cos^2x + sin^2x
----------------
    cos^2x

ganeshie8 · Answer

remember the identity :  cos^2 x + sin^2x = 1 ?

anonymous · Answer

Yeah

ganeshie8 · Answer

use it :)

ganeshie8 · Answer

1 + sec^2xsin^2x

1 +  sin^2x / cos^2x

cos^2x + sin^2x
----------------
    cos^2x


   1
-------
cos^2x

ganeshie8 · Answer

then to conclude, u need to knw that 1/cos = sec

ganeshie8 · Answer

1 + sec^2xsin^2x

1 +  sin^2x / cos^2x

cos^2x + sin^2x
----------------
    cos^2x


   1
-------
cos^2x

sec^2x

ganeshie8 · Answer

see if that makes more or less sense :)

anonymous · Answer

So then the answer would be Sec^2x?

anonymous · Answer

@ganeshie8 ?

ganeshie8 · Answer

nope. the answer is the ENTIRE PROOF.

ganeshie8 · Answer

suppose, when we're asked to prove some statement like below :
'roses are red'

ganeshie8 · Answer

roses

roses

....

red

ganeshie8 · Answer

whats the answer for this problem ?
is it red ha ?

ganeshie8 · Answer

answer is simply the 'steps in the proof' ok ... sorry lol thats bad example... but hope u get the idea... of how a proof is different from the regular problem :)

anonymous · Answer

Thank you!

ganeshie8 · Answer

np :)