Answer: 1) c 2) a 3) d
Step-by-step explanation:
[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\[/tex]
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Reference angle is the angle measurement from the x-axis. There is no such thing as a negative reference angle.
-183° is 3° from the x-axis so the reference angle is [tex]\large\boxed{3^o}[/tex]
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Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.
To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.
To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.
Given: 203°
Coterminal angles: 203° ± k360°, k ∈ I
