Trigonometry Examples

Solve for x r(5cos(x)+6sin(x))=11
Step 1
Divide each term in the equation by .
Step 2
Replace with an equivalent expression in the numerator.
Step 3
Remove parentheses.
Step 4
Apply the distributive property.
Step 5
Reorder.
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Step 5.1
Rewrite using the commutative property of multiplication.
Step 5.2
Rewrite using the commutative property of multiplication.
Step 6
Rewrite in terms of sines and cosines.
Step 7
Apply the distributive property.
Step 8
Cancel the common factor of .
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Step 8.1
Factor out of .
Step 8.2
Cancel the common factor.
Step 8.3
Rewrite the expression.
Step 9
Multiply .
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Step 9.1
Combine and .
Step 9.2
Combine and .
Step 9.3
Combine and .
Step 10
Simplify each term.
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Step 10.1
Separate fractions.
Step 10.2
Convert from to .
Step 10.3
Divide by .
Step 11
Separate fractions.
Step 12
Convert from to .
Step 13
Divide by .