if `2sec2alpha=tan beta+cot beta` then one of the value of `alpha+beta` is (A) pi (B) `npi- pi/4, n in ZZ` (C) `pi/4` (D) `pi/2`

If "2sec" (2alpha) = "tan" beta + "cot"beta , then one of the value of alpha + beta is

If "2sec" (2alpha) = "tan" beta + "cot"beta , then one of the value of alpha + beta is

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 2 sin 2alpha= | tan beta+ cot beta |alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

if abs({:(sinalpha, cosbeta), (cosalpha, sinbeta):})=1/2 , where alpha, beta are acute angles, then find the value of alpha+beta . a) pi/3 b) (2pi)/3 c) pi/2 d) pi/4

Let vecaxx(vecbxxvecc)=vecb/2 and vecb, vecc are non parallel unit vectors. If angle between veca and vecb is alpha and angle between veca and vecc is beta then |alpha-beta| is equal to (A) pi/2 (B) pi/6 (C) pi/3 (D) pi/4

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

If alpha, betaepsilon(0, pi/2) and if sin^4alpha+4cos^4beta+2=4sqrt2 sinalphacosbeta then the value of cos(alpha+beta)-cos(alpha-beta) is (A) sqrt2 (B) 1/sqrt2 (C) -1/sqrt2 (D) -sqrt2

lf the eccentricity of the hyperbola x^2-y^2(sec)^2alpha=5 is sqrt3 times the eccentricity of the ellipse x^2(sec)^2alpha+y^2=25, then a value of alpha is : (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2

lf the eccentricity of the hyperbola x^2 - y^2 sec^2 alpha=5 is sqrt3 times the eccentricity of the ellipse x^2 (sec^2alpha )+y^2=25, then a value of alpha is : (a) pi/6 (b) pi/4 (c) pi/3 (d) pi/2