Commerce (English Medium) इयत्ता ११ - CBSE Question Bank Solutions

If \[2 \sin^2 x = 3\cos x\]. where \[0 \leq x \leq 2\pi\], then find the value of x.

The smallest value of x satisfying the equation

If \[\cos x + \sqrt{3} \sin x = 2,\text{ then }x =\]

If \[\tan px - \tan qx = 0\], then the values of θ form a series in

If a is any real number, the number of roots of \[\cot x - \tan x = a\] in the first quadrant is (are).

The general solution of the equation \[7 \cos^2 x + 3 \sin^2 x = 4\] is

A solution of the equation \[\cos^2 x + \sin x + 1 = 0\], lies in the interval

The number of solution in [0, π/2] of the equation \[\cos 3x \tan 5x = \sin 7x\] is 

The general value of x satisfying the equation
\[\sqrt{3} \sin x + \cos x = \sqrt{3}\]

The smallest positive angle which satisfies the equation ​

If \[4 \sin^2 x = 1\], then the values of x are

If \[\cot x - \tan x = \sec x\], then, x is equal to

A value of x satisfying \[\cos x + \sqrt{3} \sin x = 2\] is

In (0, π), the number of solutions of the equation ​ \[\tan x + \tan 2x + \tan 3x = \tan x \tan 2x \tan 3x\] is 

The number of values of ​x in [0, 2π] that satisfy the equation \[\sin^2 x - \cos x = \frac{1}{4}\]

If \[e^{\sin x} - e^{- \sin x} - 4 = 0\], then x =

The equation \[3 \cos x + 4 \sin x = 6\] has .... solution.

If \[\sqrt{3} \cos x + \sin x = \sqrt{2}\] , then general value of ​x is

General solution of \[\tan 5 x = \cot 2 x\] is

The solution of the equation \[\cos^2 x + \sin x + 1 = 0\] lies in the interval