PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

Solve the following equation:

Solve the following equation:
\[\sin x + \cos x = \sqrt{2}\]

Solve the following equation:

\[\sqrt{3} \cos x + \sin x = 1\]

Solve the following equation:

Solve the following equation:

`cosec  x = 1 + cot x`

Solve the following equation:
\[\cot x + \tan x = 2\]

Solve the following equation:
\[2 \sin^2 x = 3\cos x, 0 \leq x \leq 2\pi\]

Solve the following equation:
\[\sec x\cos5x + 1 = 0, 0 < x < \frac{\pi}{2}\]

Solve the following equation:
\[5 \cos^2 x + 7 \sin^2 x - 6 = 0\]

Solve the following equation:
\[\sin x - 3\sin2x + \sin3x = \cos x - 3\cos2x + \cos3x\]

Solve the following equation:
4sinx cosx + 2 sin x + 2 cosx + 1 = 0 

Solve the following equation:
 cosx + sin x = cos 2x + sin 2x

Solve the following equation:
 sin x tan x – 1 = tan x – sin x

Solve the following equation:
3tanx + cot x = 5 cosec x

Solve the following equation:
3 – 2 cos x – 4 sin x – cos 2x + sin 2x = 0

Solve the following equation:
3sin²x – 5 sin x cos x + 8 cos² x = 2

Solve the following equation:
\[2^{\sin^2 x} + 2^{\cos^2 x} = 2\sqrt{2}\]

If secx cos5x + 1 = 0, where \[0 < x \leq \frac{\pi}{2}\], find the value of x.

Write the number of solutions of the equation tan x + sec x = 2 cos x in the interval [0, 2π].

Write the number of solutions of the equation
\[4 \sin x - 3 \cos x = 7\]