Question

Prove that Tan x + Cos x = 1 /Sin x .Cos x​

Answer 1

Answer:

tanx + cotx =  $\frac{1}{sinxcosx}$

Step-by-step explanation:

Explanation

Take R.H.S   = $\frac{1}{sinxcosx}$

            =      $\frac{sin^{2}x+cos^{2}x }{sinxcosx}$

          =      $\frac{sin^{2}x }{sinx cosx} + \frac{cos^{2} x}{sinxcosx}$

        = $\frac{sinx}{cosx} + \frac{cosx}{sinx}$

        = tanx + cotx

tanx + cotx =  $\frac{1}{sinxcosx}$