If `A={:[(0,-tan.alpha/2),(tan.alpha/2,0)]:}` and I is the identify matrix of order 2, Show that I+A=(I-A) `{:[(cosalpha,-sinalpha),(sinalpha,cosalpha)]:}`.

If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identity matrix of order 2, show that I+A=(I-A)[(cos alpha,-sin alpha),(sin alpha, cos alpha)]

Let A = [[0,-tanalpha//2],[tanalpha//2,0]] and I, the indentity matrix of order 2.

If A=[(0,-tan (alpha/2)),(tan (alpha/2),0)] and I is 2 xx 2 unit matrix, then (I-A)[(cos alpha,-sin alpha),(sin alpha, cos alpha)] is

If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

If A={:((cosalpha,sinalpha),(-sinalpha,cosalpha)):} , prove by mathematical induction that , A^(n)={:((cosnalpha,sinnalpha),(-sinnalpha,cosnalpha)):} where n(ge2) is a positive integer.

If A = [(0,-tan""(theta)/(2)),(tan""(theta)/(2),0)] and I is the 2xx2 unit matrix, find (I+A)(I-A)^(-1) .

If 3cos alpha-4sinalpha=5 , show that, 3sinalpha+4cosalpha=0 .

if tan (beta/2)=4 tan (alpha/2) ,show that tan( (beta-alpha)/2)=(3sinalpha)/(5-3cosalpha)

(cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2 =

If alpha+beta=(pi)/(2) , then prove that cosalpha=sqrt((sinalpha)/(cosbeta)-sinalphacosbeta)