The value of tan[1/2 cos⁻¹(√5/3)] is: A. (3−√5)/2 B. (3+√5)/2 C. (√5−1)/2 D. √((3−√5)/2) Answer: A) (3−√5)/2 Explanation: Let θ = cos⁻¹(√5/3). cos θ = √5/3. tan(θ/2) = √((1−cosθ)/(1+cosθ)) = √((1−√5/3)/(1+√5/3)) = √((3−√5)/(3+√5)) = (3−√5)/2.

imo class 12 inverse trigonometric functions

The value of tan[1/2 cos⁻¹(√5/3)] is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The value of tan[1/2 cos⁻¹(√5/3)] is:

Answer: A) (3−√5)/2

Explanation: Let θ = cos⁻¹(√5/3). cos θ = √5/3. tan(θ/2) = √((1−cosθ)/(1+cosθ)) = √((1−√5/3)/(1+√5/3)) = √((3−√5)/(3+√5)) = (3−√5)/2.