If `tanalpha=m/(m+1)` and `tanbeta=1/(2m+1)` . Find the possible values of `(alpha+beta)`

sin alpha+sinbeta=(1)/(4) and cos alpha+cos beta=(1)/(3) the value of sin(alpha+beta)

alphaa n dbeta are the positive acute angles and satisfying equation 5sin2beta=3sin2alpha and tanbeta=3tanalpha simultaneously. Then the value of tanalpha+tanbeta is _________

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

Let alpha,beta be two real numbers satisfying the following relations alpha^2+beta^2=5, 3(alpha^5+beta^5)=11(alpha^3+beta^3)1. Possible value of alpha beta is

If alpha and beta are the roots of x^2 - p (x+1) - c = 0 , then the value of (alpha^2 + 2alpha+1)/(alpha^2 +2 alpha + c) + (beta^2 + 2beta + 1)/(beta^2 + 2beta + c)

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

If tanalpha=1/3,tanbeta=1/7 ,show that 2alpha +beta=pi/4

If tanalpha=1/7,sin beta=1/(sqrt(10)), prove that alpha+2beta=pi/4

Let f^(prime)(x)=(192 x^3)/(2+sin^4pix)fora l lx in Rw i t hf(1/2)=0.Ifmlt=int_(1/2)^1f(x)dxlt=M , then the possible values of ma n dM are (a) m=13 ,M=24 (b) m=1/4,M=1/2 (c) m=-11 ,M=0 (d) m=1,M=12