Which of the following is not equal to the other values?sin31.7°sin(-328.3°)sin148.3°sin211.7°
Question
Which of the following is not equal to the other values?
sin(31.7°)
sin(-328.3°)
sin(148.3°)
sin(211.7°)
Solution
To determine which of the given values is not equal to the others, we can evaluate each value separately.
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sin(31.7°): We can calculate the sine of 31.7° using a scientific calculator or trigonometric table. Let's assume the value is x.
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sin(-328.3°): The sine function is periodic with a period of 360°. Therefore, sin(-328.3°) is equal to sin(31.7°) since they differ by a multiple of 360°.
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sin(148.3°): Again, we can calculate the sine of 148.3° using a scientific calculator or trigonometric table. Let's assume the value is y.
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sin(211.7°): Similarly, we can calculate the sine of 211.7° using a scientific calculator or trigonometric table. Let's assume the value is z.
Now, we compare the values of x, y, and z. If any of these values is not equal to the others, then that value is the one that is not equal to the rest.
Therefore, we need to calculate the values of sin(31.7°), sin(148.3°), and sin(211.7°) to determine which value is not equal to the others.
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