The general solution of the trigonometric equation ( 3 − 1 ) sin θ + ( 3 + 1 ) cos θ = 2 is

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

The general solution of the trigonometric equation $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is

MathematicsTrigonometric EquationsAP EAMCETAP EAMCET 2017 (24 Apr Shift 2)

Options:

A $2 n \pi \pm \frac{\pi}{4}+\frac{\pi}{12}$
B $n \pi+(-1)^n \frac{\pi}{4}+\frac{\pi}{12}$
C $2 n \pi \pm \frac{\pi}{4}-\frac{\pi}{12}$
D $n \pi+(-1)^n \frac{\pi}{4}-\frac{\pi}{12}$

Solution:

2047 Upvotes Verified Answer

The correct answer is: $2 n \pi \pm \frac{\pi}{4}+\frac{\pi}{12}$

No solution. Refer to answer key.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play