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Nancy_Lam

  • 4 years ago

verify indentity

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  1. problemsolver
    • 4 years ago
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    which?

  2. nilankshi
    • 4 years ago
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    there is nothing written..................

  3. Nancy_Lam
    • 4 years ago
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    \[\sec \theta \csc \theta=\tan \theta+\cos \theta\]

  4. jimmyrep
    • 4 years ago
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    nancy - are you sure you have got this right? i cant figure this one - so i tried plugging in 28 degrees and it didnt satisfy the identity

  5. jimmyrep
    • 4 years ago
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    r u there?

  6. mathematicalpro
    • 4 years ago
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    http://www.wolframalpha.com/input/?i=sec%28x%29cosec%28x%29%3Dtan%28x%29%2Bcos%28x%29 http://www.wolframalpha.com/input/?i=sec%28x%29cosec%28x%29%3Dtan%28x%29%2Bcot%28x%29 \[\sec \theta cosec \theta=\tan \theta+\cot \theta\] \[RHS=\tan \theta+\cot \theta\] \[=\frac{\sin \theta}{\cos \theta}+\frac{\cos \theta}{\sin \theta}\] \[=\frac{\sin^2\theta+\cos^2\theta}{\cos \theta \sin \theta}\] \[=\frac{1}{\cos \theta \sin \theta}\] \[=\sec \theta cosec \theta=LHS\]

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