Answer:
tanx = sinx/cosx
Step-by-step explanation:
Given the expression
sin x cos x tan x = 1 - cos^2x
According to trigonometry identity
tan x = sinx/cosx
Substitute into the expression. From LHS
sin x cos x tan x
= sin x cos x (sinx/cosx)
= sin²x
Also since sin²x+cos²x = 1
Hence sin²x = 1 - cos²x (RHS)
The correct option is therefore tanx = sinx/cosx
