Trigonometry Examples

Solve for ? (cot(x)-1)(2sin(x)+1)=0
Step 1
Simplify .
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Step 1.1
Rewrite in terms of sines and cosines.
Step 1.2
Expand using the FOIL Method.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify each term.
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Step 1.3.1
Rewrite using the commutative property of multiplication.
Step 1.3.2
Combine and .
Step 1.3.3
Cancel the common factor of .
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Step 1.3.3.1
Cancel the common factor.
Step 1.3.3.2
Rewrite the expression.
Step 1.3.4
Multiply by .
Step 1.3.5
Multiply by .
Step 1.3.6
Multiply by .
Step 1.4
Convert from to .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
, for any integer
Step 3