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While Baljeet is organizing his binder, he finds a conjecture that he wrote for problem 3-81: If one angle of a right triangle has the slope ratio , then the complementary angle has a slope ratio of .

  1. How can Baljeet update the conjecture using the name of the trig ratio that corresponds to the slope ratio?

    Draw a sketch of a right triangle with the sides labeled correctly.

  2. Write a new conjecture about the sine and cosine of complementary angles. You might try some examples on your calculator to help you develop your conjecture.

    Refer to your triangle sketch and remember that: