Q.

If cos-1cosα+cosβ1+cosα cosβ=2Tan-1x then x=

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya

a

tanα2tanβ2

b

cotα2 cotβ2

c

cot α cot β

d

tanα tanβ

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let  a=tan2 α2  ,  b=tan2 β2 cos-11-a1+a+1-b1+b1+1-a1+a·1-b1+b=cos-11+b-a-ab+1+a-b-ab1+a+b+ab+1-a-b+ab =cos-12-2ab2+2ab=cos-11-ab1+ab=2tan-1 ab =2tan-1tan α2 tan β2   x=tan α2  tan β2 

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon