Question

Verify the identity. Justify each step.
tan (theta) + cot (theta) = 1 / sin (theta) cos (theta)

Answer 1

tan(theta) = sin(theta) / cos(theta) and cot(theta) = cos(theta) / sin(theta)
Substitute these in the above equation and you will prove it right...Any doubt?

Answer 2

How would I substitute the 'sin'.?

Answer 3

tanx + cotx = sinx/cosx + cosx/sinx
= \[( \sin x ^{2} + \cos ^{2} ) / (\sin x)(\cos x) = 1/(\sin x)(\cos x)\]

Answer 4

I'm so confused

Answer 5

we know,
\[(\sin x) ^{2} + (\cos x) ^{2} = 1\]