PUC Science इयत्ता ११ - Karnataka Board PUC Question Bank Solutions

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 

Find the A.M. between:

12 and −8

Find the A.M. between:

(x − y) and (x + y).

Insert 4 A.M.s between 4 and 19.

Insert 7 A.M.s between 2 and 17.

Insert six A.M.s between 15 and −13.

If n A.M.s are inserted between two numbers, prove that the sum of the means equidistant from the beginning and the end is constant.