Trigonometry Examples

Solve for x rcos(x)rsin(x)=2
Step 1
Multiply each term in by to eliminate the fractions.
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Step 1.1
Multiply each term in by .
Step 1.2
Simplify the left side.
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Step 1.2.1
Simplify the expression.
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Step 1.2.1.1
Add parentheses.
Step 1.2.1.2
Add parentheses.
Step 1.2.1.3
Add parentheses.
Step 1.2.1.4
Reorder and .
Step 1.2.1.5
Move parentheses.
Step 1.2.1.6
Reorder and .
Step 1.2.2
Apply the sine double-angle identity.
Step 1.2.3
Multiply by by adding the exponents.
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Step 1.2.3.1
Move .
Step 1.2.3.2
Multiply by .
Step 1.3
Simplify the right side.
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Step 1.3.1
Multiply by .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 3
Take the inverse sine of both sides of the equation to extract from inside the sine.
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
Divide by .