$$Tan12$$ Sin−$$12x1+x2$$−$$12$$ Cos−$$11$$−$$y21+x2$$ $$=$$

Question

$$Tan12$$ Sin−$$12x1+x2$$−$$12$$ Cos−$$11$$−$$y21+x2$$ $$=$$

Infinity Learn · Accepted Answer

Let $$x=Tan$$ A, $$y=Tan$$​ BThen $$tan12sin-12x1+x2-12cos-11-y21+y2=tan12sin-12tanA1+tanA2-12cos-11-tanB21+tanB2$$                                                                                   $$=tan12sin-1sin2A-12cos-1cos2B$$                                                                                   $$=tanA-B$$                                                                                   $$=tanA-tanB1+tanAtanB$$                                                                                   $$=x-y1+xy$$

$T a n [\frac{1}{2} S i n^{- 1} (\frac{2 x}{1 + x^{2}}) - \frac{1}{2} C o s^{- 1} (\frac{1 - y^{2}}{1 + x^{2}})] =$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Tan12 Sin−12x1+x2−12 Cos−11−y21+x2 =

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$T a n [\frac{1}{2} S i n^{- 1} (\frac{2 x}{1 + x^{2}}) - \frac{1}{2} C o s^{- 1} (\frac{1 - y^{2}}{1 + x^{2}})] =$