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Leroy Sims
Mathematics
3 September, 21:25
Cot x sec4x = coy x + 2 tan x + tan3x
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Elliott Bolton
3 September, 21:41
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Step-by-step explanation:
Simplify RHS
Cotx + 2tanx+tan^3x
Cotx/sinx+2 (sinx/cosx) + sin^3x/cos^3x
Taking LCM
(cos^4x+2sin^2xcos^2x+sin^4x) / sinx cos^3x
(Cos^2x+sin^2x) ^2/sinx cos^3x
(1/sinx cos^3x)
(1/sinx cos^3x) * (cosx/cosx)
Cotx sec^4x
LHS=RHS
Hence proved
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