If `(cos3alpha)/cosalpha=1/3, 0ltalphaltpi/2` then `(sin3alpha)/sinalpha` is equal to

If (cos3 alpha)/(cos alpha)=(1)/(3),0

If 0ltalphaltpi/2, show that alpha-alpha^3/3ltsinalpha

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

If 0ltalphaltpi/2, show that alpha- alpha^3/3ltsinalpha

If 0ltalphaltpi/2, show that alpha- alpha^3/3ltsinalpha

If (2sinalpha)/({1+cos alpha+sin alpha})=y, then ({1-cos alpha+sin alpha})/(1+sin alpha)=

If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+cosbeta)+ycos(alpha-beta)=5 are perpendicular then sin2alpha+sin2beta is equal to:

If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+cosbeta)+ycos(alpha-beta)=5 are perpendicular then sin2alpha+sin2beta is equal to:

Prove the following : (cos7alpha+cos3alpha-cos5alpha-cosalpha)/(sin7alpha-sin3alpha-sin5alpha+sinalpha) = cot2alpha

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