Published by:
CGP EDU Academic Team
Published on: August 13, 2026
5 sin 2 x + 
sinx cosx + 6 cos 2 x = 5 if
A
tan x = − 1/ 
B
sin x = 0
C
x = n π + π /2, n ∈ Ι
D
x = n π + π /6, n ∈ Ι
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,c)
5 sin 2 x + 
sinx cosx + 6 cos 2 x = 5
Case-I cosx = 0 ⇒ 5 + 0 + 0 = 5
∴ x = n π + 
Case -II cos x ≠ 0
∴ 5tan 2 x + 
tanx + 6 = 5 (1 + tan 2 x) ⇒ tanx = 
──────────────────────────────────────────────────────────────────────────────────────────
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 …