Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

If sinθ, cosθ and tanθ are in G.P. then cot6θcot2θ isA. 1B12C. 2D. 3

Answer
VerifiedVerified
534.6k+ views
like imagedislike image
We know that when a, b, c are in GP then b2=achere sinθ, cosθ and tanθ are in gpcos2θ=sinθtanθ = sinθsinθcosθcos2θsin2θ=1cosθ sin2θcos3θ=1 ........(i)cot2θ=secθNow put the value of cot2θ in the questioncot6θcot2θ=sec3θsecθ = secθ(sec2θ1) = secθtan2θ = 1cosθsin2θcos2θ = sin2θcos3θBy putting the value in equation (i)cot6θcot2θ=1 So option A is correct.Note: - Always try to use geometric mean when three consecutive term of a GP are giventhese are the best method to solve the questions.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for MAHARASHTRABOARD students
PhysicsPhysics
BiologyBiology
ChemistryChemistry
MathsMaths
₹34,650 (9% Off)
₹31,500 per year
Select and buy