Trigonometry Examples

Solve for x r=2(sin(x)-cos(x))
Step 1
Rewrite the equation as .
Step 2
Divide each term in the equation by .
Step 3
Replace with an equivalent expression in the numerator.
Step 4
Remove parentheses.
Step 5
Apply the distributive property.
Step 6
Multiply by .
Step 7
Rewrite in terms of sines and cosines.
Step 8
Apply the distributive property.
Step 9
Multiply .
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Step 9.1
Combine and .
Step 9.2
Combine and .
Step 10
Cancel the common factor of .
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Step 10.1
Factor out of .
Step 10.2
Cancel the common factor.
Step 10.3
Rewrite the expression.
Step 11
Simplify each term.
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Step 11.1
Separate fractions.
Step 11.2
Convert from to .
Step 11.3
Divide by .
Step 12
Separate fractions.
Step 13
Convert from to .
Step 14
Divide by .