Nancy_Lam Group Title verify indentity 2 years ago 2 years ago

1. problemsolver Group Title

which?

2. nilankshi Group Title

there is nothing written..................

3. Nancy_Lam Group Title

$\sec \theta \csc \theta=\tan \theta+\cos \theta$

4. jimmyrep Group Title

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 Group Title

r u there?

6. mathematicalpro Group Title

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 $\sec \theta cosec \theta=\tan \theta+\cot \theta$ $RHS=\tan \theta+\cot \theta$ $=\frac{\sin \theta}{\cos \theta}+\frac{\cos \theta}{\sin \theta}$ $=\frac{\sin^2\theta+\cos^2\theta}{\cos \theta \sin \theta}$ $=\frac{1}{\cos \theta \sin \theta}$ $=\sec \theta cosec \theta=LHS$