Trigonometry Examples

Solve for x 15arccos((y-3pi)/4)=5pi
Step 1
Divide each term in by and simplify.
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Step 1.1
Divide each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Cancel the common factor of .
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Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 1.3
Simplify the right side.
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Step 1.3.1
Cancel the common factor of and .
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Step 1.3.1.1
Factor out of .
Step 1.3.1.2
Cancel the common factors.
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Step 1.3.1.2.1
Factor out of .
Step 1.3.1.2.2
Cancel the common factor.
Step 1.3.1.2.3
Rewrite the expression.
Step 2
Take the inverse arccosine of both sides of the equation to extract from inside the arccosine.
Step 3
Simplify the left side.
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Step 3.1
Simplify .
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Step 3.1.1
Split the fraction into two fractions.
Step 3.1.2
Move the negative in front of the fraction.
Step 4
Simplify the right side.
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Step 4.1
The exact value of is .
Step 5
Add to both sides of the equation.
Step 6
Multiply both sides of the equation by .
Step 7
Simplify both sides of the equation.
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Step 7.1
Simplify the left side.
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Step 7.1.1
Cancel the common factor of .
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Step 7.1.1.1
Cancel the common factor.
Step 7.1.1.2
Rewrite the expression.
Step 7.2
Simplify the right side.
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Step 7.2.1
Simplify .
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Step 7.2.1.1
Apply the distributive property.
Step 7.2.1.2
Cancel the common factor of .
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Step 7.2.1.2.1
Factor out of .
Step 7.2.1.2.2
Cancel the common factor.
Step 7.2.1.2.3
Rewrite the expression.
Step 7.2.1.3
Cancel the common factor of .
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Step 7.2.1.3.1
Cancel the common factor.
Step 7.2.1.3.2
Rewrite the expression.
Step 8
Add to both sides of the equation.
Step 9
Multiply both sides of the equation by .
Step 10
Simplify both sides of the equation.
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Step 10.1
Simplify the left side.
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Step 10.1.1
Cancel the common factor of .
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Step 10.1.1.1
Cancel the common factor.
Step 10.1.1.2
Rewrite the expression.
Step 10.2
Simplify the right side.
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Step 10.2.1
Simplify .
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Step 10.2.1.1
Apply the distributive property.
Step 10.2.1.2
Cancel the common factor of .
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Step 10.2.1.2.1
Factor out of .
Step 10.2.1.2.2
Cancel the common factor.
Step 10.2.1.2.3
Rewrite the expression.
Step 10.2.1.3
Cancel the common factor of .
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Step 10.2.1.3.1
Cancel the common factor.
Step 10.2.1.3.2
Rewrite the expression.
Step 11
The result can be shown in multiple forms.
Exact Form:
Decimal Form: