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

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

Prove: (2)/( cot alpha tan 2 alpha ) = 1 - tan ^(2) alpha.

1+tan alpha*tan((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)

(1-2sin^(2)alpha)/(1+sin2 alpha)=(1-tan alpha)/(1+tan alpha)

(1-2sin^(2)alpha)/(1+sin2 alpha)=(1-tan alpha)/(1+tan alpha)

[[1,-tan((alpha)/(2))tan((alpha)/(2)),1]][[1,-tan((alpha)/(2))tan((alpha)/(2)),1]]

(1)/(2)tan((alpha)/(2))+(1)/(4)tan((alpha)/(4))+(1)/(8)tan((alpha)/(8))dots(1)/(2^(n))tan((alpha)/(2^(n)))+cot alpha

Prove that sin 4alpha = 4 tan alpha (1 - tan^(2) alpha)/((1 + tan^(2) alpha)^(2))

Prove that: (tan^(3)alpha)/(1+tan^(2)alpha)+(cot^(3)alpha)/(1+cot^(2)alpha)=sec alpha cosec alpha-2sin alpha cos alpha