WEBVTT
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and this problem asks us to sketch a right triangle
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, as I've done here below, Corresponding to this
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triggered a metric function. So you can't Dany equals
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13 over five, and then with his information,
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we're supposed to evaluate, um, the other five
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tricking a metric functions, so C can't data is
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equivalent 21 over CO st Data. When I write
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this down, just because we know that coastline theta
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is the same as the adjacent side of our triangle
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over the high pot means because this is the reciprocal
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this simplifies right on down to C can't data equals
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high pot news over Jason. Now we look over
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here what we've been given, and we see that
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13 is in the numerator where I hide pot nooses
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and five is in the denominator which represents our adjacent
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sideline. So we can come in and then just
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write that endure triangle now to solve for the opposite
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side, we can simply use of the factory and
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fear Um, given that excuse me, 13 squared
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equals five squared plus a square saying, given that
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the scientist, eh, Now a squared equals 13
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squared minus five squared, which is the same as
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144 and we know that 144 is a perfect square
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, meaning that a equals 12. And so once
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we've found all three side lengths, it's very simple
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to just come in here and then write down what
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are other five triggered? A metric functions are so
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co sign is adjacent overhype oddness. So that's five
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over 13 just like in the adjacent side. Over
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the high pot Nous sign is opposite over high pot
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news, so we look at the opposite side to
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this angle. Phaeton, which is 12 over 13
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tangent, is the same as opposite over adjacent,
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so you can write 12 over five. Coast seeking
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is simply the reciprocal of Sign so that be 13
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over 12 and co tangent is the reciprocal attention.
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So that would be five over 12. And there
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you have it. We've evaluated all five other tricking
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a metric functions, and now I'm done sharing