[" यदि (If) "sin varphi=x sin(2 theta+varphi)" ,साबित करें कि "],[qquad (x+y)cot(theta+varphi)=(y-x)cot theta]

If y sinphi = x sin (2theta + phi) show that (x + y) cot (theta + phi) = (y-x) cot theta .

If y sinphi = x sin (2theta + phi) show that (x + y) cot (theta + phi) = (y-x) cot theta .

If y sin phi=x sin(2 theta+phi) show that (x+y)cot(theta+phi)=(y-x)cot theta

If 3 tan theta tan phi=1 , then prove that 2 cos (theta+varphi)=cos (theta-varphi) .

If 3 tan theta tan phi=1 , then prove that 2 cos (theta+varphi)=cos (theta-varphi) .

Let theta, varphi varepsilon [0,2 pi] be such that 2cos theta (1-sin varphi) = sin ^ (2) theta ((tan theta) / (2) + (cot theta) / (2)) cos varphi -1, tan (2 pi-theta)> 0 and -1> sin theta <(sqrt (3)) / (2)

If 3tanthetatanvarphi=1 , then prove that 2cos(theta+varphi)=cos(theta-varphi) .

Prove that: (sin(theta+varphi)-2sin theta+sin(theta-varphi))/(cos(theta+varphi)-2cos theta+cos(theta-varphi))=tan theta

If determinant |"cos"(theta+varphi)-"sin"(theta+varphi)cos2varphis inthetacosthetas invarphi-costhetas inthetacosvarphi| is a. positive b. independent of q c. independent of varphi d. none of these

If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+ sin^2varphi=0.