Trigonometry Examples

Convert Degrees, Minutes, Seconds to Decimal Degrees 6 degrees 14'48''
Step 1
Since is a whole number, it is a full degree. Since each minute is equal to degree, multiply by . Since each second is equal to degree, multiply by . Add them together.
Step 2
Simplify.
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Step 2.1
Remove parentheses.
Step 2.2
Simplify each term.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Factor out of .
Step 2.2.1.2
Factor out of .
Step 2.2.1.3
Cancel the common factor.
Step 2.2.1.4
Rewrite the expression.
Step 2.2.2
Combine and .
Step 2.2.3
Cancel the common factor of .
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Step 2.2.3.1
Factor out of .
Step 2.2.3.2
Cancel the common factor.
Step 2.2.3.3
Rewrite the expression.
Step 2.3
Find the common denominator.
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Step 2.3.1
Write as a fraction with denominator .
Step 2.3.2
Multiply by .
Step 2.3.3
Multiply by .
Step 2.3.4
Multiply by .
Step 2.3.5
Multiply by .
Step 2.3.6
Multiply by .
Step 2.3.7
Multiply by .
Step 2.3.8
Reorder the factors of .
Step 2.3.9
Multiply by .
Step 2.3.10
Reorder the factors of .
Step 2.3.11
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify each term.
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Step 2.5.1
Multiply by .
Step 2.5.2
Multiply by .
Step 2.6
Simplify by adding numbers.
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Step 2.6.1
Add and .
Step 2.6.2
Add and .
Step 3
Convert the fraction to a decimal by dividing the numerator by the denominator.