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Marisol Austin
Mathematics
10 April, 16:50
Find the value of tan (-945) degrees?
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Omar Lopez
10 April, 17:20
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When I get a question like this I like to transform it into a positive angle as I think it's easier to work with. If you add 360° on to the angle, the trig values stay exactly the same.
tan (-945) ° = tan (-585) ° = tan (-225) ° and so on ...
keep doing this until you get a positive value, in our case we get tan (135) °
This is in the second quadrant of a unit circle diagram so we know tan must be negative and make an angle of 45° to the x-axis so tan (135) °=-tan (45) °
tan (45) ° = 1 therefore combining all this gives tan (-945) ° = - 1.
(I know there's a lot to take in there, if you have any questions, feel free to ask.)
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