trigonometry

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Use identities to simplify each expression.
1) (sin2t) (cos5t) + (cos2t) (sin5t)
2) {1/(sec x - 1)} - {1/(sec x +1)} = 2 cot^2 x

  • trigonometry -

    sin a cos b + cos a sin b = sin (a+b)
    so sin (7t)

    1/(1/cos x -1) - 1/(cos x +1)

    cos x/(1 - cos x) - cos x/(1+cos x)

    [cos x(1+cos x) - cos x(1-cos x)]/(1-cos^2 x)

    [ cos x + cos^2x - cos x +cos^2 x]/sin^2x

    2 cos^2 x/sin^2 x

    2 cot^2 x

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