" prove that "{(1-cot^(2)((alpha-pi)/(4)))/(1+cot^(2)((alpha-pi)/(4)))+cos(alpha)/(2)cot4 alpha}sec(9 alpha)/(2)=csc4 alpha

Prove taht {(1-cot^(2)((alpha-pi)/(4)))/(1+cot^(2)((alpha-pi)/(4)))+cos((alpha)/(2))cot(4 alpha)}sec((9 alpha)/(2))=cos ec4 alpha

Prove that {(1-cot^(2)((a-pi)/(4)))/(1+cot^(2)((a-pi)/(4)))+cos((a)/(2))*cot4a}sec((9 pi)/(2))=cos ec4 alpha

If "cosec" theta =[(tan^(2) [(alpha - pi)//4]-1)/(tan^(2)[(alpha-pi//4)]+1)+ cos ""(alpha)/(2) cot 4 alpha ] sec ""(9alpha)/2 " then" theta =

cot^(2)alpha=1+a^(2) then cos ec alpha+cot^(3)alpha sec alpha=

cot^(2)alpha=1+a^(2) then cos ec alpha+cot^(3)alpha sec alpha=

Prove that: [1+cot alpha-sec((pi)/(2)+alpha)][1+cot alpha+sec((pi)/(2)+alpha)]=2cot 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

Prove that [1+cot alpha-sec(alpha+pi/2)] [1+cot alpha+sec (alpha+pi/2)]=2 cot alpha .

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

(x tan alpha+y cot alpha)(x cot alpha+y tan alpha)-4xy cos^(2)2 alpha=