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Math Help - Simplify the trigonometric expression

  1. #1
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    Simplify the trigonometric expression

    Cos[θ]/Sec[θ] + Sin[θ]/Csc[θ]

    the ans = 1

    i having trouble with the cancellation of division. showing the steps would help me. thank you
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  2. #2
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    \displaystyle \frac{\cos{\theta}}{\sec{\theta}} + \frac{\sin{\theta}}{\csc{\theta}}= \frac{\cos{\theta}}{\frac{1}{\cos{\theta}}} + \frac{\sin{\theta}}{\frac{1}{\sin{\theta}}}

    \displaystyle = \cos^2{\theta} + \sin^2{\theta}

    \displaystyle = 1.
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  3. #3
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    why is the cos theta not multiplied on the rhs of (sin [theta])/ 1 /(sin [theta])
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  4. #4
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    Because it's addition, not multiplication...
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  5. #5
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    okay, in this example: (a/b/c/d) what would that equal? is it (DA/DB/C) then (CDA/CDB) ?
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