If `sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta` s equal to- `30^0` b.`150^0` c.`210^0` d.none of these

If (sin3theta)/(sintheta)=(11)/(25) t h e ntan(theta/2) can have the value equal to- a.2 b. 1/2 c.-2 d. -1/2

If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A t a n B t a n C) is equal to t a n A t a n B t a n C b. 0 c. 1 d. none of these

If t a ntheta+s e ctheta=sqrt(3),\ 0

If m ,n in Na n dm^2-n^2=13 ,t h e n(m+1)(n+1) is equal to a. 42 b. 56 c. 50 d. none of these

Comprehension 1 Let a^((log)_b x)=c w h e r e a , b , c & x are parameters. On the basis of above information, answer the following questions: If a=b=2xx3^sin^2theta+1/(1+tan^(2theta)) & c=(4 t a ntheta)/(sqrt(sec^2theta-1))(w h e r e theta lies in Ist Quadrant) , then x is- a.3 b. -3 c. 0 d. 4

b_(n+1)=(1)/(1-b_(n))f or n>=1andb_(1)=b_(3), then sum_(r=1)^(2001) is equal to 2001b.-2001c.0d .none of these

int_0^pisin^3theta(1+2costheta)(1+costheta)^2 d theta is equal to (a)1/3 (b) 8/3 (c) 3/2 (d) None of these

If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' n ' is equal to 16 b. 23 c. 3 0 d. none of these