Question

verify indentity

Answer 1

which?

Answer 2

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

Answer 3

\[\sec \theta \csc \theta=\tan \theta+\cos \theta\]

Answer 4

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

Answer 5

r u there?

Answer 6

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

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