The value of the integral
`int_(0)^(3alpha) cosec (x-alpha)cosec(x-2alpha)dx` is

The value of int_(0)^(pi//2) cosec(x-pi//3)cosec(x-pi//6)dx is

The value of int_(0)^(pi//2) cosec(x-pi//3)cosec(x-pi//6)dx is

The value of the integral int_alpha^beta (1)/(sqrt((x-alpha)(beta-x)))dx " for "beta gt alpha , is

The value of the integral int("cosec"^(2)x-2019)/(cos^(2019)x)dx is equal to (where C is the constant of integration)

The value of the integral int("cosec"^(2)x-2019)/(cos^(2019)x)dx is equal to (where C is the constant of integration)

What is the value of (sin^4alpha-cos^4 alpha+1)cosec^2 alpha .

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

tanalpha=2 , then the value of ("cosec"^(2)alpha-sec^(2)alpha)/("cosec"^(2)alpha+sec^(2)alpha) is

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