Question

trig quiz
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question 1 (1 point)
the smallest positive co - terminal angle to - 45° is
a) 405°
b) 225°
c) 315°
d) 45°
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Explanation:

Step1: Recall the formula for co - terminal angles

Co - terminal angles are given by \(\theta + n\times360^{\circ}\), where \(n\in\mathbb{Z}\) ( \(n\) is an integer). We want to find the smallest positive co - terminal angle for \(\theta=- 45^{\circ}\).

Step2: Substitute \(n = 1\) into the formula

Let \(n = 1\). Then the co - terminal angle is \(\theta+360^{\circ}\). Substitute \(\theta=-45^{\circ}\) into the formula: \(-45^{\circ}+360^{\circ}\).

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Answer:

C. \(315^{\circ}\)