Which of the following is equivalent to sintheta csc(–theta) wherever sintheta csc(–theta) is defined? F. –1 G. 1 H. –tan theta J. tan theta

Which of the following is equivalent to sintheta csc(–theta) wherever sintheta csc(–theta) is defined? F. –1 G. 1 H. –tan theta J. tan theta K. –sin2 theta

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Note csc(-θ ) = -csc(θ)

So we have

sin(θ) [-csc(θ)] =

-sin(θ) [csc(θ)] =

- sin(θ) [1/ sin(θ)] =  -1