Prove taht `{(1-cot^2((alpha-pi)/4))/(1+cot^2((alpha-pi)/4))+cos(alpha/2)cot(4alpha)}sec((9alpha)/2)=cosec4alpha`

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 =

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

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+ cos 2 alpha + sin 2 alpha)/(1-cos 2 alpha +sin 2 alpha)=cot alpha

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