`(1-cos alpha)/(sinalpha)=tan(alpha/2)`

Prove that (1-cosalpha)/sinalpha=tan(alpha/2)

(1+sin alpha)/(1+cos alpha)*(1+sec alpha)/(1+cos ec alpha)=tan alpha

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

If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"prove that",2 cos^(2) theta = 1 + sin 2 alpha.

If tan theta=(sin alpha-cos alpha)/(sin alpha+cos alpha), prove that 2cos^(2)theta=1+sin2 alpha

if tan theta=(sinalpha-cosalpha)/(sinalpha+cosalpha) show that, sin alpha+cosalpha=pmsqrt(2)cos theta

If (sinalpha+"cosec"alpha)^(2)+(cosalpha+secalpha)^(2)=k+tan^(2)alpha+cot^(2)alpha then the value of k is

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

If sin alpha-cos alpha=(1)/(5) then tan((alpha)/(2))=