Echo111 Echo111
  • 27-05-2016
  • Mathematics
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the point (16, 12) lies on the terminal side of an angle. find cos, tan, and sin

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MathG33k
MathG33k MathG33k
  • 27-05-2016
The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
[tex]sin(\theta) = \frac{12}{20} = \boxed{\frac{3}{5}} \\\ cos(\theta) = \frac{16}{20} = \boxed{\frac{4}{5}} \\\ tan(\theta) = \frac{12}{16} = \boxed{\frac{3}{4}}[/tex] 
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