Question

Prove the following

Answer 1

\[\frac{ \cos \theta +1 }{ \cot \theta } = \sin \theta + \tan \theta \]

Answer 2

1/cot(x) = sin(x)/cos(x)
sin(x)/cos(x) * (cos(x) + 1) = sin(x) + tan(x)

Answer 3

is that the answer?

Answer 4

You have to prove the left hand side equals the right hand side.
On LHS, write cot(theta) as cos(theta)/sin(theta). And then multiply by (cos(theta) + 1) and you will end up with the RHS.

I used x in the place of theta for convenience of typing.

Answer 5

ok I can live with that proof... split the fractions and use trig identites.