`int(c o s e ctheta-cottheta)/(c o s e ctheta+cottheta)\ d theta=`

If tan theta=1/sqrt7 ,then (c o s e c^2theta-sec^2theta)/(c o s e c^2theta+sec^2theta)=?

Prove the following identity: (cosectheta-sintheta)(s e ctheta-costheta)(t a ntheta+cottheta)=1

The value of sqrt((1+costheta)/(1-costheta)) is (a) cottheta-cos e c\ theta (b) cos e c\ theta+cottheta (c) cos e c^2theta+cot^2theta (d) (cottheta+cos e c\ theta)^2

Prove: (sintheta)/(1-costheta)=cos e c\ theta+cottheta

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)=1/(tantheta+cottheta)

Prove the following identities: (cos e ctheta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

Prove that:sqrt((1+costheta)/(1-costheta))={cos e ctheta+cottheta,if0

Prove that: sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove that m n=1

If a=s e ctheta-t a ntheta and b=cos e ctheta+cottheta , then show that a b+a-b+1=0.