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`

The period of cos5 theta is (a) pi^(2) (b) 2 pi (c) 2 pi/5 (d) pi/3

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

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)

The period of cos(theta/2) is (A) 2 pi (B) 4 pi (C) pi (D) 6 pi

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)

The value of sin^(-1)(cos(33pi)/5) is (3pi)/5 (b) pi/(10) (c) pi/(10) (d) (7pi)/5

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

sin^(-1)(0) is equal to : (a) 0 (b) pi/6 (c) pi/2 (d) pi/3