Related InterviewSolutions

• Let n be odd integer . If `sin theta = sum_(r=0)^(n) b_(r) sin^(r) theta`, for every value of `theta`, thenA. `b_(0) = 1, b_(1) =3`B. `b_(0) = 0, b_(1) `C. `b_(0) = - 1 , b_(1) =n `D. `b_(0) =0, b_(1) = n^(2) - 3n +3`
• `sec^2 x=(4xy)/(x+y)^2` is true if and only ifA. `x = y ne 0 `B. `x = y,x ne 0`C. `x = y`D. `x ne 0, y ne 0`
• The number of all the possible triplets `(a_1,a_2,a_3)`such that `a_1+a_2cos(2x)+a_2sin^2(x)=0`for all `x`is0 (b)1 (c) 3(d) infinite
• The smallest positive value of x (in degrees) for which`tan(x+100^@)=tan(x+50^@).tanx.tan(x-50^@)` is
• The positive integer value of `n >3`satisfying the equation`1/(sin(pi/n))=1/(sin((2pi)/n))+1/(sin((3pi)/n))i s`
• The smallest positive root of the equation `tanx-x=0`lies in`(0,pi/2)`(b) `(pi/2,pi)``(pi,(3pi)/2)`(d) `((3pi)/2,2pi)`A. `(0,(pi)/(2))`B. `((pi)/(2),pi)`C. `(pi,(3pi)/(2))`D. `((3pi)/(2),2pi)`
• The set of all `x`in the interval `[0,pi]`for which `2sin^2x-3sinx+1geq0`is______
• Find the smallest positive number p for which the equation `cos (p sin x) = sin (p cos x)` has a solution `x in [0,2pi]`.
• The solution set of the system of equations `x+y=(2pi)/3,cosx+cosy=3/2,`where `xa n dy`are real, is ________
• Let S be the set of all `alpha in R` such that the equation, `cos 2x + alpha sin x = 2alpha -7` has a solution. The S, is equal toA. RB. `[1,4]`C. `[3,7]`D. `[2,6]`