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Prove the following identities cosx (tanx + 2) (2 tanx + 1) = 2 secx + 5 sinx

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Prove the following identities

cosx (tanx + 2) (2 tanx + 1) = 2 secx + 5 sinx

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Best answer

LHS = cosx (tanx + 2) (2 tanx + 1)

= cosx (2 tan 2x + 5 tanx + 2)

= 2 secx + 5 sinx

= RHS

Hence proved.

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