Friday, 19 July 2013

trigonometry - When finding sintheta and costheta given tantheta=frac35, shouldn't I get positive and negative answers?


Q: Find the exact value of cosθ and sinθ if tanθ=35




To solve it I got told to draw the triangle and label the sides and then find cos and sin. The answer from the answer sheet gives both cos and sin as positive solutions. However, I thought that, since tan is positive in both the 1st and 3rd quadrants, then you could draw the triangle in those two quadrants. So,





Why don't you get plus-minus solutions for sinθ and cosθ ?


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