If `xsin^3alpha+ycos^3alpha=sinalpha cos alpha` and `xsinalpha-ycosalpha=0` then `x^2+y^2=`

If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha and x sin alpha - y cos alpha =0 , then x^2 +y^2 is

If p sin^(3)alpha+qcos^(3)alpha=sinalphacosalpha and p sinalpha - q cos alpha=0, then prove that : p^(2)+q^(2)=1

If p sin^(3)alpha+qcos^(3)alpha=sinalphacosalpha and p sinalpha - q cos alpha=0, then prove that : p^(2)+q^(2)=1

If tantheta = (sinalpha-cosalpha)/(sinalpha+cosalpha), then (A) sin alpha-cos alpha=+-sqrt(2) sin theta (B) sinalpha+cosalpha=+-sqrt(2) cos theta (C) cos2theta=sin2alpha (D) sin2theta+cos2alpha=0

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

If sinalpha+cos alpha=sqrt2 cos alpha then prove that tan 2alpha=1

If sin.alpha/2+cos.alpha/2=1.4, then: sinalpha=