[" 4.Sow cos "1+a^(2)],[" that "sin x=tan^(2)((alpha)/(2))]

If cot^(-1)(sqrt(cos alpha))-tan^(-1)(sqrt(cos alpha))=x then sin x is tan^(2)(alpha)/(2)(b)cot^(2)(alpha)/(2)(c)tan^(2)alpha(d)cot(alpha)/(2)

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

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

(sin^(2)alpha)/(1+cot^(2) alpha) + (tan^(2)alpha)/((1+tan^(2) alpha)^(2)) + cos^(2) alpha =

If quad alpha sin ^ (2) x + beta cos ^ (2) x = 1, beta sin ^ (2) y + alpha cos ^ (2) y = nalpha sin ^ (2) alpha tan x = beta tan y, then (alpha ^ (2)) / (beta ^ (2)) is equal to

If tanbeta =(sin alpha cos alpha)/(2 + cos^(2) alpha),"prove that " 3 tan (alpha -beta).=2 tan alpha

Show that cos 2 x=cos ^(2) x-sin ^(2) x=2 cos ^(2) x-1=1-2 sin ^(2) x=(1-tan ^(2) x)/(1+tan ^(2) x)

if c o* x=cos alpha.cos beta then prove that tan((x+alpha)/(2))*tan((x-alpha)/(2))=(tan^(2)beta)/(2)

If tan x = tan y cos2 alpha prove that: tan (yx) = (tan ^ (2) alpha * sin2y) / (1 + tan ^ (2) alpha * cos2y)