If tan thita + sec thita=4,then find sin thita. (0

Hi Arnab.

tanx + secx = 4

We also know that sec^2 x - tan^2 x = 1

or (secx-tanx)(secx+tanx) = 1

or secx-tanx = 1/4

So secx = 17/8 and tanx = 15/8

So sinx = tanx/secx = 15/17.

Hope that helps.

Best Regards,

Ashwin (IIT Madras).

Approved

the answer will be , sin Θ =  15/17 , -1