Trigonometry Examples

Solve for x 150/360=3/(2pr)
Step 1
Cancel the common factor of and .
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Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Find the LCD of the terms in the equation.
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Step 2.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 2.2
Since contains both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
Step 2.3
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Step 2.4
The prime factors for are .
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Step 2.4.1
has factors of and .
Step 2.4.2
has factors of and .
Step 2.5
Since has no factors besides and .
is a prime number
Step 2.6
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 2.7
Multiply .
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Step 2.7.1
Multiply by .
Step 2.7.2
Multiply by .
Step 2.8
The factor for is itself.
occurs time.
Step 2.9
The factor for is itself.
occurs time.
Step 2.10
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Step 2.11
Multiply by .
Step 2.12
The LCM for is the numeric part multiplied by the variable part.
Step 3
Multiply each term in by to eliminate the fractions.
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Step 3.1
Multiply each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Factor out of .
Step 3.2.1.2
Cancel the common factor.
Step 3.2.1.3
Rewrite the expression.
Step 3.3
Simplify the right side.
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Step 3.3.1
Rewrite using the commutative property of multiplication.
Step 3.3.2
Cancel the common factor of .
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Step 3.3.2.1
Factor out of .
Step 3.3.2.2
Factor out of .
Step 3.3.2.3
Cancel the common factor.
Step 3.3.2.4
Rewrite the expression.
Step 3.3.3
Combine and .
Step 3.3.4
Multiply by .
Step 3.3.5
Cancel the common factor of .
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Step 3.3.5.1
Cancel the common factor.
Step 3.3.5.2
Rewrite the expression.
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Rewrite the expression.
Step 4.2.2
Cancel the common factor of .
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Step 4.2.2.1
Cancel the common factor.
Step 4.2.2.2
Divide by .