Question

Find the possible integral values of a for which cos 2x + a sin x = 2a – 7 has solutions.

Solution

Correct option is

= 2, 3, 4, 5, 6

We have

                

                 

                    

                    

                        

                        

                          

                     = 2, 3, 4, 5, 6.

SIMILAR QUESTIONS

Q1

Which of the following statement is correct

Q2

 then the value of tan α tan 2α tan 3α….tan(2n-1)α is equal to

Q3

The number of solution of the equation

  is/are

   

Q4
Q5

If tan x = 2b/(a – c) (a  c), y = a cos2 x + 2b sin x cos x + c sin2 c and z = a sin2 x – 2b sin x cos x + c cos2 x, then

Q6
Q7

If A and B are acute angles such that sin A = sin2 B, 2cos2 A = 3 cos2 B; then

Q8

If cos (θ – α), cos θ and cos (θ + α) are in harmonic progression, then cosθ sec (α/2) is equal to

Q9

If A and B are acute angles such that A + B and A – B satisfy the equation tan2 θ – 4 tan θ + 1 = 0, then find the value of A and B.

Q10

Simplify the product cos A cos 2A. cos22A…..cos2n-1A.