## anonymous 5 years ago verify indentity

1. anonymous

which?

2. anonymous

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

3. anonymous

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

4. anonymous

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. anonymous

r u there?

6. anonymous

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