tan^4 + tan^2 theta = sec^4 theta - sec^2 theta
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zaid6935:
could you explain me how u get sec^4??
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Heya
We know that ( 1 + Tan² x ) = Sec² x
=>
R.H.S
{ Sec² x - 1 }² + { sec² x - 1 }
Becoz Tan² x = Sec² x - 1
=>
Sec⁴ x + 1 -2 Sec² x + Sec² x - 1
Becoz ( a + b )² = a² + b² +2ab
=>
Sec⁴ x -2 Sec² x + Sec x
=>
Sec⁴ x - Sec x
Hence, proved.
thank you for helping
well0!
=_=
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