WEBVTT
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Calculate the sin of 75 degrees, four minutes, 12 seconds, giving the answer to four decimal places.
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We know that one degree is equal to 60 minutes, which is equal to 3600 seconds.
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Decimal degrees are in the form the degree plus the minutes out of 60 plus the seconds out of 3600.
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And we have the sin of 75 degrees, four minutes, and 12 seconds.
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So let’s begin simplifying.
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75 degrees is simply 75.
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And then four divided by 60 is equal to 0.06666.
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And 12 divided by 3600 is equal to 0.00333.
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So adding these numbers together inside the parentheses, we now have the sin of 75.06999.
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So plugging this into our calculator, we will find that it’s equal to 0.96624.
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But we need to round four decimal places.
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So we will either keep the two a two or round it up to a three.
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So we look at the number to the right of it.
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And since four is less than five, we will keep the two a two.
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Therefore, our final answer will be 0.9662.