SOLUTION: Please help me simplify this question into identities. {{{ 1 - cot^4 (theta) = 2csc^2 (theta) - csc^4 (theta) }}}

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me simplify this question into identities. {{{ 1 - cot^4 (theta) = 2csc^2 (theta) - csc^4 (theta) }}}      Log On


   

Question 942422: Please help me simplify this question into identities. +1+-+cot%5E4+%28theta%29+=++++2csc%5E2+%28theta%29+-+csc%5E4+%28theta%29+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1 - cot^4 (theta) = 2csc^2 (theta) - csc^4 (theta)
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(1-cot^2)(1+cot^2) = csc^2[2-csc^2]
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(1-cot^2)(csc^2) = csc^2(2-csc^2)
1-cot^2 = 2 - csc^2
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-cot^2 = 1 - csc^2
csc^2-cot^2 = 1
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1 = 1
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Cheers,
Stan H.
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