Q (7) Find the general solution of the following equation 

\small \sin 2x + \cos x = 0

Answers (1)
M manish

sin2x + cosx = 0
We know that 
sin2x = 2sinxcosx
So, 
2sinxcosx + cosx = 0
cosx(2sinx + 1) = 0
So, we can say that either 

cosx = 0                                       or                           2sinx + 1 = 0
    x=(2n+1)\frac{\pi}{2}                                                          sinx =\sin\frac{7\pi}{6}
                                                                                               x=n\pi +(-1)^{n}\frac{7\pi}{6}
Therefore, the general solution is

 x=(2n+1)\frac{\pi}{2}    or   n\pi +(-1)^{n}\frac{7\pi}{6} \ where \ n\in Z 

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Subscription)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions