Prove:-
sin^4Q+cos^4Q=1-2sin^2Q cos^ 2Q
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Hi Mate!!
Sin⁴( Q ) + Cos⁴ ( Q ) = { Sin² ( Q ) +Cos² ( Q ) }² - 2 Sin² ( Q ) × Cos² ( Q )
=>. Sin² ( Q ) + Cos² ( Q ) = 1
=>. Sin⁴ ( Q ) + Cos⁴ ( Q ) = 1 - 2 Sin² ( Q ) Cos² ( Q )
Hence proved.
Sin⁴( Q ) + Cos⁴ ( Q ) = { Sin² ( Q ) +Cos² ( Q ) }² - 2 Sin² ( Q ) × Cos² ( Q )
=>. Sin² ( Q ) + Cos² ( Q ) = 1
=>. Sin⁴ ( Q ) + Cos⁴ ( Q ) = 1 - 2 Sin² ( Q ) Cos² ( Q )
Hence proved.
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