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I need help in understanding how to identify which identity to use. using this question as an example.
Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

  • trigonometry -


    When dealing with such a combination of functions, it is usually good to start out by converting everything to sin and cos:

    sin/cos * (sin^2 + cos^2)/sin * 1/cos
    (sin^2 + cos^2)/cos^2

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