Question

How do you simplify the expression `(tant-tanttsin^2t)/(2sintcost)`?

Answer 1

`1/2`

Explanation:

Use the trig identities:
sin 2t = sin t.cos t
`(1 - sin^2 t) = cos^2 t`
`(tan t - tan t.sin^2 t)/(2sintcost) = (tan t(1 - sin^2 t))/(2sin t.cos t) =`
`= (sin t.cos^2t)/(2cos^2 t.sin t) = 1/2`