Question

Which of the following is equivalent to sin theta csc(–theta) wherever sin theta csc(–theta) is defined?

F. –1
G. 1
H. –tan theta
J. tan theta
K. –sin2 theta

Answer 1

`sin\theta csc(-\theta)=sin\theta\cdot(1)/(sin(-\theta))=sin\theta\cdot(1)/(-sin\theta)=(1)/(-1)=-1\\\\Answer:F`