If `A=[cosalpha-sinalphasinalphacosalpha]`, then `A+A^(prime)=I`, if the value of `alpha`is(A) `pi/6` (b) `pi/3` (c) `pi` (d) `(3pi)/2`

If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]] , then A+A^(prime)=I , if the value of alpha is (A) pi/6 (b) pi/3 (c) pi (d) (3pi)/2

If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A=I ,then the value of alpha is ........ (A) (pi)/(6) (B) (pi)/(3) (C ) pi (D) (3pi)/(2)

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|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|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

sin^(-1)((-1)/2) (a) pi/3 (b) -pi/3 (c) pi/6 (d) -pi/6

cot^(-1)(-sqrt3)= (a) -pi/6 (b) (5pi)/6 (c) pi/3 (d) (2pi)/3

If A=[{:(cos x,-sin x),(sin x,cos x):}] ,then A+A^(-1)=I if the value of x is a. (pi)/(6) b. (pi)/(3) c. "" pi d. (3 pi)/(2)

If 2|sin2 alpha|=|tan beta+cot beta|,alpha,beta in((pi)/(2),pi) then the value of alpha+beta is (a) (3 pi)/(4) (b) pi(c)(3 pi)/(2) (d) (5 pi)/(4)

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