(cos alpha-sin alpha+1)/(cos A+sin A-1)=cosec A+cot A

(cos A-sin A + 1) / (cos A + sin A-1) = csc A + cot A

(cos A-sin A+1)/(cos A+sin A-1)=cosec A+cot A," using the identity cosec^(2)A=1+cot

Prove that: (cos A - sin A + 1)/(cos A + sin A -1) = "cosec"A + cot A

( cos A - sin A + 1 ) / ( cos A + sin A - 1 ) = cosec A + cot A cosec A + cot A , = using the identity cosec ^ 2 A = 1 + cot^ 2 A .

Prove that (1)/("cosec"alpha-cot alpha)-(1)/(sin alpha)=(1)/(sin alpha)-(1)/("cosec"alpha+cotalpha) .

If f(alpha,beta)=|(cos alpha,-sin alpha,1),(sin alpha,cos alpha,1),(cos(alpha+beta),-sin(alpha+beta),1)|, then

If f(alpha,beta)=|(cos alpha,-sin alpha,1),(sin alpha,cos alpha,1),(cos(alpha+beta),-sin(alpha+beta),1)|, then

If Delta = |(cos alpha,- sin alpha,1),(sin alpha,cos alpha,1),(cos (alpha + beta),- sin (alpha + beta),1)| , then

(sin alpha)/(1+cos alpha)+(1+cos alpha)/(sin alpha)=2cosec alpha

If sqrt((1+cos alpha)/(1-cos alpha))=cosec alpha + cot alpha , then the quadrants in which alpha lies are