I) For `n in ZZ , 2sin^2theta=cos2theta=>theta/2=(npi)/2+-pi/12` II) For `n in ZZ, tan 5x=cot3x=>x=(2n+1)pi/4`

Statement-I: For ninz,2sin^(2)theta=cos2thetaimplies(theta)/(2)=(npi)/(2)pm(pi)/(12) Statement-II: For ninz,tan5x=cot3ximpliesx=(2n+1)(pi)/(4) which of the above statement is correct?

cot theta=sin 2 theta,(theta ne n pi), if theta

If cot theta = sin 2 theta and theta != n pi , then : theta =

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

If A=[cos theta-sin theta sin theta cos theta], then A^(T)+A=I_(2), if theta=n pi,n in Z(b)theta=(2n+1)(pi)/(2),quad n in Z(c)theta=2n pi+(pi)/(3),quad n in Z(d) none of these

S_(1) : If tan p theta = cot q theta " then " theta = ((2 n + 1) pi)/( p (P + q)), n in Z S_(2) : If tan (pi sin theta ) = cot (pi cos theta) , " then " sin (theta + (pi)/(4)) = pm (1)/(2 sqrt(2))

If "cosec"(pi//2+ theta )+x cos theta cot(pi//2-theta )=sin(pi//2+ theta ), then x =

The value(s) of theta, which satisfy the equation : 2cos^3 3theta+4=3sin^2 3theta is/are (a) (2npi)/3+(2pi)/9,\ n in I (b) (2npi)/3-(2pi)/9,\ n in I\ (2npi)/5+(2pi)/5,\ n in I\ (d) (2npi)/5-(2pi)/5,\ n in I

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