Trigonometry Examples

Solve for x (sin(x)+sin(y))/(cos(x)-cos(y))=cot(x)
Step 1
Subtract from both sides of the equation.
Step 2
Rewrite in terms of sines and cosines.
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
To write as a fraction with a common denominator, multiply by .
Step 5
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 5.1
Multiply by .
Step 5.2
Multiply by .
Step 5.3
Reorder the factors of .
Step 6
Combine the numerators over the common denominator.
Step 7
Simplify the numerator.
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Step 7.1
Apply the distributive property.
Step 7.2
Multiply .
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Step 7.2.1
Raise to the power of .
Step 7.2.2
Raise to the power of .
Step 7.2.3
Use the power rule to combine exponents.
Step 7.2.4
Add and .
Step 7.3
Apply the distributive property.
Step 7.4
Multiply .
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Step 7.4.1
Raise to the power of .
Step 7.4.2
Raise to the power of .
Step 7.4.3
Use the power rule to combine exponents.
Step 7.4.4
Add and .
Step 7.5
Multiply .
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Step 7.5.1
Multiply by .
Step 7.5.2
Multiply by .