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What is tan(-7pi) in simpliest radical form?

What is csc(-3pi/4) in simpliest radical form?

User Dfjacobs
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1 Answer

4 votes

check the picture below on the left-side.


so, negative angles move "clockwise", namely how the hands on a clock move, so -7π, is really -2π-2π-2π-π, which means, we go around the circle clockwise 3 times, as you see there in the green lines, and then we go a little bit more, namely -π, and that lands us on the -7π, or -π or the positive counterpart of π angle, same terminal point for all three.


and since tan(π) = 0, then tan(-7π) = 0, and likewise tan(-π) =0.




check the picture below on the right-side.


as you see there, the -3π/4 angle, will land there, namely is the same terminal point as the 5π/4 positive counterpart.



image

What is tan(-7pi) in simpliest radical form? What is csc(-3pi/4) in simpliest radical-example-1
User Evotopid
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