The range of values of `theta epsilon [ 0, 2pi]` for which `(1+ sin theta, 1 + cos theta)` lies inside the circle `x^2 + y^2 = 1`, is : (A) `(0, pi)` (B) `(5pi/4, 7pi/4)` (C) `(pi, 3pi/2)` (D) `(3pi/2, 2pi)`

The range of values of theta in [0, 2pi] for which (1+ cos theta, sin theta) is on interior point of the circle x^(2) +y^(2)=1 , is

The possible values of theta in (0, pi) such that sin (theta) + sin (4 theta) + sin (7 theta) = 0 are (1) (2 pi) / (9), (i) / (4 ), (4 pi) / (9), (pi) / (2), (3 pi) / (4), (8 pi) / (9) (2) (pi) / (4), (5 pi ) / (12), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9) (3) (2 pi) / (9 pi) ), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (35 pi) / (36) (4) (2 pi ) / (9), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9)

The range of values of a such that the angle theta betweeen the pair of tangents drawn from (a,0) to the circle x^(2)+y^(2)=1 lies in ((pi)/(3),pi) is

If 4cos^(2)theta=3 then theta =---- 1) (pi)/(6),(5 pi)/(6) 2) (pi)/(4),(3 pi)/(4) 3) (pi)/(3),(2 pi)/(3) 4) +-(pi)/(2)

If theta in[(pi)/(2),(3 pi)/(2)] then sin^(-1)(sin theta)=

The value of theta satisfying the given equation cos theta+sqrt(3)sin theta=2, is (A) (pi)/(3)(B)(5 pi)/(3)(C)(2 pi)/(3) (D) (4 pi)/(3)

For 0 cos^(-1)(sin theta) is true when theta belongs to (a) ((pi)/(4),pi)(b)(pi,(3 pi)/(2))(c)((pi)/(4),(3 pi)/(4)) (d) ((3 pi)/(4),2 pi)

A solution of the equation cos^(2)theta+s int h eta+1=0 lies in the interval (-pi/4,pi/4) b.(pi/4,3 pi/4)c(3 pi/4,5 pi/4)d*(5 pi/4,7 pi/4)

The solution o the equation cos^(2)theta+s int h eta+1=0 lies in the interval (-pi/4,pi/4) b.(pi/4,3 pi/4)c(3 pi/4,5 pi/4)d.(5 pi/4,7 pi/4)