If `costheta +sin theta= sqrt(2)cos theta`, then prove that` costheta-sintheta =sqrt(2)sin theta`

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .

If cos theta -sin theta =sqrt(2) sin theta , show that, costheta+sintheta=sqrt(2) cos theta [0ltthetaltpi/2] .

sqrt3costheta+sin theta=sqrt2

If sin theta+costheta=sqrt(2)costheta then what is (costheta-sintheta) equal to ?

If sin theta-sqrt(6)costheta=sqrt(7)costheta. Prove that cos theta-sqrt6 sin theta-sqrt7 sin theta=0.

If sintheta -cos theta=sqrt(2)costheta,"show that" sintheta+costheta=sqrt(2)sintheta(0ltthetalt pi/2).

If sin theta-sqrt(6)costheta=sqrt(7)costheta. Prove that cos theta+sqrt6 sin theta-sqrt7 sin theta=0.

If sin theta-sqrt(6)costheta=sqrt(7)costheta. Prove that cos theta+sqrt6 sin theta-sqrt7 sin theta=0.

If : cos theta-sintheta=sqrt2.sin theta, "then": costheta+sintheta=

If A=[[costheta,sintheta],[-sintheta,costheta]] then prove that A^2=[[cos2theta,sin2theta],[-sin2theta,cos2theta]]