Question

tan^-1(Sin x/1+Cos x)​

Answer 1

Step-by-step explanation:

in this question we have to put the formula that are given below

sin x is equal to 2 2 sin x by 2 cos x by 2 and 1 + cos x is equal to 2 cos square x by 2 now this give tangent x y 2 and we get X by 2 egg answer

Answer 2

Step-by-step explanation:

$y=tan−11+cos \: x \: \: \: sin \: x</p><p> \\ </p><p>  =tan−12cos2(x/2)sin(22x)</p><p> \\ </p><p>  =tan−12cos2x/22sin(x/2)cos(x/2)</p><p> \\ </p><p>  =tan−1cos(x/2)sin(x/2)</p><p> \\ </p><p>  = \: tan−1tan(x/2)</p><p></p><p> \\ y=2x</p><p></p><p> \\ Differentiate \: with respect \: to  \: x  \: on \\ both \: sides \: we \: get \\ </p><p></p><p>d \: x \: d \: y \: =21</p><p></p><p>Hence proved.</p><p></p><p>$