# Trigonometry Examples

Solve the Triangle a=2 , b=3 , c=4
, ,
Use the law of cosines to find the unknown side of the triangle, given the other two sides and the included angle.
Solve the equation.
Substitute the known values into the equation.
Simplify the results.
Simplify the numerator.
Raise to the power of .
Raise to the power of .
Raise to the power of .
Multiply by .
Subtract from .
Simplify the denominator.
Multiply by .
Multiply by .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Evaluate .
Use the law of cosines to find the unknown side of the triangle, given the other two sides and the included angle.
Solve the equation.
Substitute the known values into the equation.
Simplify the results.
Simplify the numerator.
Raise to the power of .
Raise to the power of .
Raise to the power of .
Multiply by .
Subtract from .
Simplify the denominator.
Multiply by .
Multiply by .
Evaluate .
The sum of all the angles in a triangle is degrees.
Solve the equation for .