Question

How do you prove `(tan x)(cos x)=sin x`?

Answer 1

See Below.

Explanation:

L.H.S. = `(tan x)(cos x)`

= `(sin x/cancel(cos x)) (cancel(cos x))`

= `sin x` = R.H.S

[As we know that `tan theta = ("perpendicular")/("base") = ("perpendicular"/"hypotenuse")/("base"/"hypotenuse") = sin theta/cos theta`]

Hope it helps.