Question

The equation a sin x + b cos x = c where 2 2 | c | a b   , has
(A) one solution (B) two solution
(C) no solution (D) infinite number of solutions
3. The general solution of the equation sin x cos x 2 cos A   is
(A) x 2n A
4

    (B) x 2n A
3

    (C) x 2n A
6

    (D) None of these
(Where n  I)
4. If tan( cot ) cot( tan )      . Find the minimum postive value of tan  + cot  is
(A) 1 (B)
5
2
(C)
1
4
(D) None of these
5. The common roots of the equation 2 2 2sin x sin 2x 2   and sin 2x + cos 2x = tan x are
(A) (2n 1)
2

 (B) (2n 1)
2

 (C) (2n 1)
4

 (D) None of these
(where n  I)
6. The number of solution of the equation tan 2 tan 1    is (  [0,2])

Answer 1

Answer:

The equation asinx + bcosx = c , where | c | >√(a^2+b^2) has

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