Trigonometry Examples

Solve for x -pi/6=arctan(x)
Step 1
Rewrite the equation as .
Step 2
Take the inverse arctangent of both sides of the equation to extract from inside the arctangent.
Step 3
Simplify the right side.
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Step 3.1
Simplify .
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Step 3.1.1
Add full rotations of until the angle is greater than or equal to and less than .
Step 3.1.2
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant.
Step 3.1.3
The exact value of is .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form: