PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

If \[\frac{3\pi}{4} < \alpha < \pi, \text{ then }\sqrt{2\cot \alpha + \frac{1}{\sin^2 \alpha}}\] is equal to

sin⁶ A + cos⁶ A + 3 sin² A cos² A =

If \[cosec x - \cot x = \frac{1}{2}, 0 < x < \frac{\pi}{2},\]

If \[cosec x + \cot x = \frac{11}{2}\], then tan x =

If x is an acute angle and \[\tan x = \frac{1}{\sqrt{7}}\], then the value of \[\frac{{cosec}^2 x - \sec^2 x}{{cosec}^2 x + \sec^2 x}\] is

The value of sin²5° + sin²10° + sin²15° + ... + sin²85° + sin²90° is

sin² π/18 + sin² π/9 + sin² 7π/18 + sin² 4π/9 =

If tan A + cot A = 4, then tan⁴ A + cot⁴ A is equal to

If x sin 45° cos² 60° = \[\frac{\tan^2 60^\circ cosec30^\circ}{\sec45^\circ \cot^{2^\circ} 30^\circ}\], then x =

If A lies in second quadrant 3tan A + 4 = 0, then the value of 2cot A − 5cosA + sin A is equal to

If \[cosec x + \cot x = \frac{11}{2}\], then tan x =

If tan θ + sec θ =e^x, then cos θ equals

If sec x + tan x = k, cos x =

If \[f\left( x \right) = \cos^2 x + \sec^2 x\], then

Which of the following is incorrect?

The value of \[\cos1^\circ \cos2^\circ \cos3^\circ . . . \cos179^\circ\] is

The value of \[\tan1^\circ \tan2^\circ \tan3^\circ . . . \tan89^\circ\] is

Which of the following is correct?

Find the A.M. between:

 7 and 13