1+(cot^(2)alpha)/(1+cos ec alpha)=

Prove that : 1+(cot^(2)alpha)/(1+"cosec"alpha)="cesec"alpha

Show that 1 + cot^2 alpha / (1+ cosec alpha) = cosec alpha

If pi lt alpha lt 2pi then (1)/(Sin alpha - sqrt(cot^(2)alpha -cos^(2) alpha))=

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

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

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)=

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)=

(1+cot alpha+cos ec alpha)/(1-cot alpha+cos ec alpha)

Prove that (cot alpha+cos ec alpha-1)/(cot alpha-cos ec alpha+1)=(1+cos alpha)/(sin alpha)

(1)/(sec^(4)alpha)+(1)/(cos ec^(4)alpha)+(2)/(sec^(2)alpha+cos ec^(2)alpha)=? and (cos A)/(1+sin A)+(1+sin A)/(cos A)=?