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

1 Answer

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.