WEBVTT
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Calculate cos of 80 degrees, 36 minutes, and 36 seconds, giving the answer to four decimal places.
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Before we start this question, we need to know that one degree is equal to 60 minutes.
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And one degree is also equal to 3600 seconds as there are 60 seconds in a minute.
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To work out how many degrees there are in 36 minutes, we divide 36 by 60.
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This gives us 0.6 degrees.
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To calculate how many degrees there are in 36 seconds, we need to divide 36 by 3600.
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This gives us 0.01 degrees.
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Putting these answers together gives us that 36 minutes and 36 seconds is equal to 0.61 degrees.
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This means that calculating cos of 80 degrees, 36 minutes, and 36 seconds is the same as calculating cos of 80.61 degrees.
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Typing this into our calculator gives us an answer of 0.1632.
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Therefore, cos of 80 degrees, 36 minutes, and 36 seconds to four decimal places is 0.1632.
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We can use this to solve any problem, where the angle is given in minutes and seconds by first converting it into degrees.