If `sin x+sqrt(3)cos x=sqrt(2)` then general solution of x
`2n pi+(pi)/(12)`
`2n pi-(pi)/(12)`
`2n pi+(5 pi)/(12)`
`2n pi-(5 pi)/(12)`

2sin((5 pi)/(12))(sin((pi)/(12)))=

If sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2), then the general value of theta is (n in Z)*( a) 2n pi+(5 pi)/(6) (b) 2n pi+(pi)/(6)2n pi+(7 pi)/(6)( d) 2n pi+(pi)/(4)

Which of the following sets can be the subset of the general solution of 1+cas3x=2cos2x(n in Z)?(a)n pi+(pi)/(3) (b) n pi+(pi)/(6)(c)n pi-(pi)/(6)(d)2n pi

(cos ((pi) / (12)) - sin ((pi) / (12))) ((tan pi) / (12) + (cot pi) / (12))

If z=sqrt(3)-2+i, then principal value of argument z is (where i=sqrt(-1)-(5 pi)/(12)(2)(pi)/(12) (3) (7 pi)/(12) (4) (5 pi)/(12)

Find the value of 2cos((5 pi)/(12))cos((pi)/(12)) and 2sin((5 pi)/(12))cos((pi)/(12))

If (1)/(6)sin theta,cos theta and tan theta are in GP,then the general value of theta is (i) 2n pi+-(pi)/(3)( ii) 2n pi+-(pi)/(6) (iii) 2n pi+-(-1)^(n)(pi)/(3)( iv )n pi+-(pi)/(3)

(csc^(2)theta-4)x^(2)+(cot theta+sqrt(3))x+cos^(2)(3 pi)/(2)=0 holds true for all real x, then the most general values of theta can be given by n in Z)2n pi+(11 pi)/(6) (b) 2n pi+(5 pi)/(6)2n pi+-(7 pi)/(6) (d) pi+-(11 pi)/(6)

If sin^(3)theta+sin theta cos^(2)theta=1, then theta is equal to (n in Z)( a) 2n pi(b)2n pi+(pi)/(2)(c)2n pi-(pi)/(2) (d) n pi

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