Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Total number of solutions of equation sinx.tan4x = cosx belonging to (– π , 2 π ) are :
Text Solution
Verified by ExpertsThe correct answer is:
D
sin x . tan 4x = cos x ⇒ sin x sin 4x = cos x cos 4x
⇒ cos 5x = 0 ⇒ five solutions.

──────────────────────────────────────────────────────────────────────────────────────────
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
What are the most general values of θ which satisfy the equations :
(i)sin θ = (ii)tan (x – 1) =
…
Solve
(i) sin9 θ = sin θ
(ii) cot θ + tan θ = 2cosec θ
(iii) sin2 θ = cos3 θ
(iv) cot θ = tan8 θ
(v…
Solve
(i)sin θ + sin3 θ + sin5 θ = 0.
(ii)cos θ + sin θ = cos 2 θ + sin 2 θ .
(iii)cos 2 x + cos 2 …
Solve
(i)tan 2 θ – (1 + ) tan θ + = 0
(ii)4 cos θ – 3 sec θ = 2 tan θ
(iii)tan x . tan . tan = …
Solve
(i) sin θ – cos θ =
(ii)5 sin θ + 2 cos θ = 5
What are the most general values of θ which satisfy the equations :
(i)sin θ = (ii)tan (x – 1) =
…