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

sin 2 alpha - cos 2 alpha tan alpha =

IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha) , then sin alpha + cos alpha is

If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

Find the adjoint of the following matrices: [1tan alpha sin alpha sin alpha cos alpha]( ii) [1tan alpha/2-tan alpha/21] Verify that (adjA)A=|A|I=A(adjA) for the above matrices.

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

If y = (2 sin alpha )/(1 + cos alpha + sin alpha) then, prove that (1 - cos alpha + sin alpha)/(1 + sin alpha) = y .

If tan beta= (Q sin alpha)/(P+Q cos alpha) , prove that : tan (alpha-beta)= (P sin alpha)/(Q+P cos alpha) .

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

Prove that, (sin alpha + cos alpha)/(cos alpha-sin alpha)=tan2 alpha + sec 2 alpha

tan theta = (sin alpha-cos alpha) / (sin alpha + cos alpha)