Question

Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx

Answer 1

cot x=1

Explanation:

got it right

Answer 2

Explanation:

we have

`cscx = sinx tanx + cosx\\\\(1)/(sinx)=sinx.(sinx)/(cosx) +cosx\\\\(1)/(sinx).sinx.cosx= sinx.(sinx)/(cosx).sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^(3) +sinx.(cosx)^(2) \\cosx= sinx[(sinx)^(2)+(cosx)^(2))\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=(\pi)/(4) +k\pi,k-integer.`