Trigonometry Examples

Solve the Triangle tri{9}{}{15}{}{12}{90}
Step 1
Find .
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Step 1.1
The angle can be found using the inverse sine function.
Step 1.2
Substitute in the values of the opposite side to angle and hypotenuse of the triangle.
Step 1.3
Cancel the common factor of and .
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Step 1.3.1
Factor out of .
Step 1.3.2
Cancel the common factors.
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Step 1.3.2.1
Factor out of .
Step 1.3.2.2
Cancel the common factor.
Step 1.3.2.3
Rewrite the expression.
Step 1.4
Evaluate .
Step 2
Find the last angle of the triangle.
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Step 2.1
The sum of all the angles in a triangle is degrees.
Step 2.2
Solve the equation for .
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Step 2.2.1
Add and .
Step 2.2.2
Move all terms not containing to the right side of the equation.
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Step 2.2.2.1
Subtract from both sides of the equation.
Step 2.2.2.2
Subtract from .
Step 3
These are the results for all angles and sides for the given triangle.