Published by:
CGP EDU Academic Team
Published on: August 14, 2026
In (0, 6 π ), find the number of solutions of the equation tan θ + tan2 θ + tan3 θ = tan θ .tan2 θ .tan3 θ
Text Solution
Verified by ExpertsThe correct answer is:
17
(17)
tan θ + tan 2 θ + tan 3 θ – tan θ tan 3 θ tan 2 θ = 0 ...(1)
⇒ tan( θ + 2 θ + 3 θ ) = 0 ⇒ tan 6 θ = 0 ⇒ 6 θ = n π ⇒ θ = 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If sin θ = and θ lies in the second quadrant, find the value of sec θ + tan θ .
Column-IColumn-II(A) tan 9° − tan 27° − tan 63° + tan 81° (P)1(B)cosec 10° – sec 10°(Q)2(C)…
Column-IColumn-II(A)If for some real x, the equation x + = 2 cos θ holds, then cos θ is equal to…
Column-IColumn-II(A)Number of solutions of sin2θ + 3 cos θ = 3(P)0 in [– π, π](B)Number of solution…
In a triangle ABC if tan A < 0 then:
If sin α = 1/2 and cos θ = 1/3, then the values of α + θ (if θ , α are both acute) will lie in the …