Solution of the equation `sin(sqrt(1+sin2theta))=sintheta+costhetai s(n in Z)` `npi-pi/4` (b) `npi+pi/(12)` (c) `npi+pi/6` (d) none of these

Which of the following is not the solution of the equation sin5x=16sin^(5)x(n in Z)?n pi(b)n pi+(pi)/(6)(c)n pi-(pi)/(6) (d) none of these

A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

If tan^(-1)(cottheta)=2\ theta , then theta= +-pi/3 (b) +-pi/4 (c) +-pi/6 (d) none of these

If 3tan(theta-15^(@))=tan(theta+15^(0)), then theta is equal to n in Z ) pi pi+(pi)/(4) (b) n pi+(pi)/(8)n pi+(pi)/(3) (d) none of these

The general solution of the equation 7cos^(2)theta+3sin^(2)theta=4 is theta=2n pi+-(pi)/(6),nZ b.theta=2n pi+-(2 pi)/(3),nZ c.theta=2n pi+-(pi)/(3),nZ d.none of these

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

The most general value for which tan theta=-1cos theta=(1)/(sqrt(2)) is (n in Z)n pi+(7 pi)/(4) (b) n pi+(-1)^(n)(7 pi)/(4)2n pi+(7 pi)/(4) (d) none of these

sin^-1 (-1/2)+tan^-1 (sqrt(3))= (A) -pi/6 (B) pi/3 (C) pi/6 (D) none of these

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

The solution(s) of the equation sin7x+cos2x=-2 is/are x=(2kpi)/7+(3pi)/(14),\ k in I (b) x=npi+pi/4\ k in I x=2npi+pi/2,\ k in I (d) none of these