Trigonometry Examples

Solve for x 2sin(2(x+pi/6))+5=2cos(2(x-pi/6))+5
Step 1
Simplify each term.
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Step 1.1
Apply the distributive property.
Step 1.2
Cancel the common factor of .
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Simplify each term.
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Step 2.1
Apply the distributive property.
Step 2.2
Cancel the common factor of .
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Step 2.2.1
Move the leading negative in into the numerator.
Step 2.2.2
Factor out of .
Step 2.2.3
Cancel the common factor.
Step 2.2.4
Rewrite the expression.
Step 2.3
Move the negative in front of the fraction.
Step 3
Graph each side of the equation. The solution is the x-value of the point of intersection.
, for any integer
Step 4