if sinA +sin^2A =1 prove that cos ^2 A +cos ^4A=1
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Answered by
15
Hi ,
SinA + sin² A = 1 ----( 1 )
SinA = 1 - sin² A
SinA = cos² A ----( 2 )
Now
take LHS = cos² A + cos⁴ A
= Cos² A + ( cos² A )²
= SinA + sin² A [ from ( 2 ) ]
= 1 [ from ( 1 ) ]
= RHS
I hope this helps you.
:)
SinA + sin² A = 1 ----( 1 )
SinA = 1 - sin² A
SinA = cos² A ----( 2 )
Now
take LHS = cos² A + cos⁴ A
= Cos² A + ( cos² A )²
= SinA + sin² A [ from ( 2 ) ]
= 1 [ from ( 1 ) ]
= RHS
I hope this helps you.
:)
Answered by
0
Answer:
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Step-by-step explanation:
SinA + sin² A = 1 ----( 1 )
SinA = 1 - sin² A
SinA = cos² A ----( 2 )
Now
take LHS = cos² A + cos⁴ A
= Cos² A + ( cos² A )²
= SinA + sin² A [ from ( 2 ) ]
= 1 [ from ( 1 ) ]
= RHS
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