Question

Write in terms of the cofunction of a complementary angle.

Answer 1

given the expression

`sin((\pi)/(15))`

since

`sin(\theta)=(1)/(csc(\theta))=cos((\pi)/(2)-\theta)`

then

`s\imaginaryI n((\pi)/(15))=(1)/(csc((\pi)/(15)))=cos((\pi)/(2)-(\pi)/(15))`
`s\imaginaryI n((\pi)/(15))=(1)/(csc((\pi)/(15)))=cos(((15-2\pi))/(30))`
`s\imaginaryI n((\pi)/(15))=cos((13\pi)/(30))`

ten the correct answer is

Option C