Trigonometry Examples

Step 1
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Step 2
Substitute the known values into the law of sines to find .
Step 3
Solve the equation for .
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Factor each term.
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Evaluate .
Evaluate .
Divide by .
Find the LCD of the terms in the equation.
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Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
The LCM of one and any expression is the expression.
Multiply each term in by to eliminate the fractions.
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Multiply each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Solve the equation.
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Rewrite the equation as .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
Step 4
The sum of all the angles in a triangle is degrees.
Step 5
Solve the equation for .
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Add and .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Step 6
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
Step 7
Substitute the known values into the law of sines to find .
Step 8
Solve the equation for .
Tap for more steps...
Factor each term.
Tap for more steps...
Evaluate .
Evaluate .
Divide by .
Find the LCD of the terms in the equation.
Tap for more steps...
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
The LCM of one and any expression is the expression.
Multiply each term in by to eliminate the fractions.
Tap for more steps...
Multiply each term in by .
Simplify the left side.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Solve the equation.
Tap for more steps...
Rewrite the equation as .
Divide each term in by and simplify.
Tap for more steps...
Divide each term in by .
Simplify the left side.
Tap for more steps...
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Simplify the right side.
Tap for more steps...
Divide by .
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