SOLUTION: determine whether the following equation are true or false: csc(5pi)+sec(-pi/3)=[cot^2(3pi/4)+tan^2(7pi/4]^2

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Question 813171: determine whether the following equation are true or false:
csc(5pi)+sec(-pi/3)=[cot^2(3pi/4)+tan^2(7pi/4]^2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
False.

To find this answer you only need to look at csc%285pi%29. 5pi is two full revolutions plus one pi. Since sin%28pi%29 is zero, and since csc is the reciprocal of sin and since there is no reciprocal for zero, csc%285pi%29 is undefined. This makes the equation impossible.