Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • If cot^-1 square root cos alpha - tan^-1 square root cos alpha = x , then sin x=?

If cot^-1 square root cos alpha - tan^-1 square root cos alpha = x , then sin x=?

Answers (1)

best_answer

Solution:   We have ,      cot^-1sqrtcosalpha - an^-1sqrtcos alpha =x

               Rightarrow      fracpi2- an^-1sqrtcos alpha- an^-1sqrtcos alpha=x

                                             fracpi2-2 an^-1sqrtcos alpha=x

                  Taking sin on both the sides

              Rightarrow            sin (fracpi2-2 an^-1sqrtcos alpha)=sin x

             Rightarrow             cos (2 an^-1sqrtcos alpha )=sin x

             Hence        sin x=cos (2 an^-1sqrtcos alpha )=frac1-cosalpha1+cos alpha= an^2fracalpha2.

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question