`(1+tan(alpha/2)-sec(alpha/2))(1+tan(alpha/2)+sec(alpha/2))=sinalphasec^2(alpha/2)`

Prove the following Identity: (tan alpha+sec alpha-1)/(tan alpha-sec alpha+1)=(1+sin alpha)/(cos alpha)

The value of (cot^(2)alpha)((sec alpha-1)/(1+sin alpha))+sec^(2)alpha((sin alpha-1)/(1+sec alpha)) is

(sec8 alpha-1)/(sec4 alpha-1)=(tan8 alpha)/(tan2 alpha)

tan2alpha-tanalpha(1+sec2alpha)=

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

(sin alpha+cos ec alpha)^(2)+(cos alpha+sec alpha)^(2)=tan^(2)alpha+cot^(2)alpha+7

If sec alpha=(5)/(4), verify that (tan alpha)/(1+tan^(2)alpha)=(sin alpha)/(sec alpha)

(tan alpha sec^(2)alpha+cot alpha cos ec^(2)alpha)-(tan alpha+cot alpha)=2cos ec2 alpha[sec^(2)alpha+cos ec^(2)alpha-3]

tan^(2)alpha=1-p^(2) then sec alpha+tan^(3)alpha*cos ec alpha

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