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Sliva [168]
3 years ago
11

Choose the ratios for sin A and cos A.

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer: D


Step-by-step explanation: By using SOH for sin A, 'S' being sin, 'O' being opposite side of angle A and 'H' being the hypotenuse which is the longest part of the triangle you would find that 15 is opposite from Sin A and 17 the hypotenuse, 15/17.

For cos A you would use CAH, C= cos, A which is the adjacent of the triangle located next to angel A which is 8, and H= hypotenuse (also note that the hypotenuse never changes even if the angle may be different) CAH would be cos A = 8/17


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So remember the acronym "SOH CAH TOA"

  • Sin = Opposite/Hypotenuse
  • Cos = Adjacent/Hypotenuse
  • Tan = Opposite/Adjacent
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  • Adjacent = Side that touches the angle
  • Hypotenuse = Side that is across from the right angle
<h3>A.</h3>

So we see that side a doesn't touch angle \alpha , hence making it the opposite side. And we see that side b is across from the right angle, making it the hypotenuse. <u>Using this info, \sin \alpha = \frac{a}{b}</u>

<h3>B.</h3>

So we already know from part A that side b is the hypotenuse. And also since side c touches the angle, it is the adjacent.<u> Using this info, \cos \alpha = \frac{c}{b}</u>

<h3>C.</h3>

Next, it has been established that side c is the adjacent and side a is the opposite side. <u>Using this info, \tan \alpha = \frac{a}{c}</u>

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