No links please Q) Prove that : tan-1π4+12cos-1ab+tanπ4-12cos-1ab=2ba - Maths - Inverse Trigonometric Functions

Question

No links please
Q) Prove that : tan - 1 π 4 + 1 2 cos - 1 a b + tan π 4 -
1 2 c o s - 1 a b = 2 b a

Neha Sethi · Accepted Answer

Dear student
The correct question is:
tanπ4+12cos-1ab+tanπ4-12cos-1ab=2ba
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5aa8c30ca9c4b%20png"
style="width: 368px; height: 448px;">
Identity used:tanA±B=tanA±tanB1∓tanAtanB
Regards

No links please Q). Prove that : tan - 1 π 4 + 1 2 cos - 1 a b + tan π 4 - 1 2 c o s - 1 a b = 2 b a

No links please
Q). Prove that : $\tan^{- 1} (\frac{π}{4} + \frac{1}{2} \cos^{- 1} \frac{a}{b}) + \tan (\frac{π}{4} - \frac{1}{2} c o s^{- 1} \frac{a}{b}) = \frac{2 b}{a}$