Home
Class 12
MATHS
If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]...

If `A=[[0,-tan(alpha/2)],[tan(alpha/2),0]]` show that
`(I+A)` =`(I-A)[[cosalpha,-sinalpha],[sinalpha,cosalpha]]` where `I=[[1,0],[0,1]]`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|25 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE ( Long Answer Type Questions ) |14 Videos
  • SAMPLE PAPER 2

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A'=I , then find the value of alpha .

If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]] , show that for no values of alpha, A^2=B .

Prove the following : cos^2(alpha/2)(1-2cosalpha)^2+sin^2(alpha/2)(1+2cosalpha)^2 =1

If A=[[1,2,3],[3,-2,1],[4,2,1]] "show that" A^3-23A-40I=0

If A=[[1,-1,1,],[2,-1,0,],[1,0,0,]] ,then show that A^2=A^-1.

If A=[{:(1,-1,1),(2,-1,0),(1,0,0):}] then show that A^-1=A^2

If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show that tan(alpha-beta)/(tanalpha)=1-n^2

If A_(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then prove that A_(alpha)A_(beta)=A_(alpha+beta) .

If (1-e) tan^2frac{beta}{2}=(1+e)tan^2frac{alpha}{2} . prove that cosbeta=(cosalpha-e)/(1-ecosalpha)