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

Let A=[(0,-tan(alpha/2)),(tan(alpha/2),0)] and I be the identity matrix of order 2. Show that I+A=(I-A)[cosalpha-sin alpha sin alpha cosalpha] .

Let A=[0-tan(alpha//2)tan(alpha//2)0] and I be the identity matrix of order 2. Show that I+A=(I-A)[cosalpha-sinalphasinalphacosalpha] .

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

If A=[ [0,-tan((alpha)/2)],[tan(alpha/2),0]] then (I-A)[[cosalpha,-sinalpha],[sinalpha,cosalpha]] =

If A=[[cosalpha, -sin alpha] , [sin alpha, cos alpha]] then A+A'=I then alpha=

A=[(cos alpha,-sin alpha),(sin alpha,cos alpha)] and A+A^(T)=I , find the value of alpha .

The value of (sin5alpha-sin3alpha)/(cos5alpha+2cos4alpha+cos3alpha) is

If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alpha})/(1+sin alpha)=

If Delta_(1) is the area of the triangle with vertices (0, 0), (a tan alpha, b cot alpha), (a sin alpha, b cos alpha), Delta_(2) is the area of the triangle with vertices (a sec^(2) alpha, b cos ec^(2) alpha), (a + a sin^(2)alpha, b + b cos^(2)alpha) and Delta_(3) is the area of the triangle with vertices (0,0), (a tan alpha, -b cot alpha), (a sin alpha, b cos alpha) . Show that there is no value of alpha for which Delta_(1), Delta_(2) and Delta_(3) are in GP.

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is