Question

Sec x tan x (1-sin^2 x) = __x I need help solving this I have no idea.

Answer 1

Recall that secx is the reciprocal of cosx.
Also, recall the property:

`cos^(2)x + sin^(2)x = 1`


`\therefore cos^(2)x = 1 - sin^(2)x`

Thus, we can rewrite the equation as:

`secx tanx (1 - sin^(2)x) = secx tanx cos^(2)x`

`= tanx cosx`

`= (sinx)/(cosx) \cdot cosx`

`= sinx`