PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

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
\[4 \sin x - 3 \cos x = 7\]

Write the set of values of a for which the equation

Write the number of points of intersection of the curves

Write the values of x in [0, π] for which \[\sin 2x, \frac{1}{2}\]

Write the number of points of intersection of the curves

Write the solution set of the equation 

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

If \[3\tan\left( x - 15^\circ \right) = \tan\left( x + 15^\circ \right)\] \[0 < x < 90^\circ\], find θ.

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