The acute angle ( x ) that satisfies ( \cos(x) = \frac{\sqrt{3}}{2} ) is ( 30^\circ ). This is because the cosine function gives this value at ( 30^\circ ) within the range of acute angles (0° to 90°). Therefore, the answer is ( x = 30^\circ ).
The value of sec 180 degrees is equal to 1 divided by the cosine of 180 degrees. Since the cosine of 180 degrees is -1, sec 180 equals -1. Therefore, sec 180° = -1.
The cosine of 90 degrees is zero.
The cosine of 8 degrees is 0.99026806874157031508377486734485
Cosine is 0.766
The cosine of 24 degrees is 0.913
The secant of an angle is the reciprocal of the cosine of that angle. For 60 degrees, the cosine is 0.5, so the secant is 1 divided by 0.5. Therefore, the secant of 60 degrees is 2.
The value of sec 180 degrees is equal to 1 divided by the cosine of 180 degrees. Since the cosine of 180 degrees is -1, sec 180 equals -1. Therefore, sec 180° = -1.
The cosine of 90 degrees is zero.
The cosine of 8 degrees is 0.99026806874157031508377486734485
Cosine is 0.995
Cosine is 0.766
The cosine of 24 degrees is 0.913
The cosine of 60 degrees is 0.5
The measure of an angle whose cosine is 0.5 is 60 degrees (or (\frac{\pi}{3}) radians) in the first quadrant. Additionally, in the context of the unit circle, the angle can also be 300 degrees (or (\frac{5\pi}{3}) radians) in the fourth quadrant.
Measure two of them. Then the third is 180 degrees minus the two that you know. Or measure the lengths of the sides and use the cosine rule.
Cosine(42 radians) = -0.399985 Cosine(42 degrees) = 0.743146
Cosine(84 radians) = -0.680023 Cosine(84 degrees) = 0.104528