Home
Class 11
MATHS
Answer the following questions.IfA=[[cos...

Answer the following questions.If`A=[[costheta,sintheta],[-sintheta,costheta]]`,prove that `A^n=[[cos ntheta,sin ntheta],[-sin ntheta,cos ntheta]]`, for all `n in N`

Promotional Banner

Similar Questions

Explore conceptually related problems

(sintheta+sin 2theta)/(1+costheta+cos2theta)=

Prove the following: 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1=0

If [frac{1+costheta+isintheta}{i+sintheta+icostheta}]^4 = cos ntheta+isin ntheta , then n is equal to

Answer the following questions.If A=[[3,-4],[1,-1]] ,prove that A^n=[[1+2n,-4n],[n,1-2n]] for all n in N

Prove the following: cottheta(1-cos2theta)=sin2theta

Prove the following: costheta+sin(270^@+theta)-sin(270^@-theta)+cos(180^@+theta)=0

Prove that (frac(sintheta-2sin^3theta)(2cos^3theta-costheta))=tantheta

The root of the equation 1-costheta=sintheta*"sin"(theta)/(2) is

Prove the following: sqrt(2+sqrt(2+2cos4theta))=2costheta