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Math Help - use fundamental identities find an equivalent expression involving only sines and cos

  1. #1
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    use fundamental identities find an equivalent expression involving only sines and cos

    (Sec[θ] Csc[θ])/(Tan[θ] Cot[θ])

    i believe the ans is (1)/(sin theta cos theta). however, can someone show each step because i'm getting lost in the division part. thankyou
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  2. #2
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    \displaystyle \frac{\sec{\theta}\csc{\theta}}{\tan{\theta}\cot{\  theta}} = \frac{\frac{1}{\cos{\theta}}\,\frac{1}{\sin{\theta  }}}{\frac{\sin{\theta}}{\cos{\theta}}\,\frac{\cos{  \theta}}{\sin{\theta}}}

    \displaystyle = \frac{\frac{1}{\sin{\theta}\cos{\theta}}}{1}

    \displaystyle = \frac{1}{\sin{\theta}\cos{\theta}}.
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    thank you very much
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