trigonometric identities

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Prove the following trigonometric identities


1. tanx = sinx + sin^2x/cosx(1+sinx)

2. cos^3+(cosx)(sin^2x) = 1/secx

  • trigonometric identities -

    1. The way you typed it, the identity is false, but I am sure you meant

    tanx = (sinx + sin^2x)/(cosx(1 + sinx))

    RS = sinx(1 + sinx) / (cosx(1+sinx))
    = sinx/cosx
    = tanx
    = LS

    2. LS = cosx(cos^2x + sin^2x)
    = (cosx)(1)
    = cosx
    RS = 1/secx
    = cosx
    = LS

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