Find all angles in degrees that satisfy each equation.
tan(a)+rad3=0
To find all angles in degrees that satisfy the equation tan(a) + √3 = 0, we need to isolate the angle a.
Step 1: Start by subtracting √3 from both sides of the equation:
tan(a) = -√3
Step 2: Take the inverse tangent (arctan) of both sides of the equation to find the angle value:
a = arctan(-√3)
Now, to find the value of a in degrees, you can use a scientific calculator or a trigonometric table that provides the arctan values.
On most scientific calculators, you can press the "2nd" or "shift" key followed by the "tan" or "arctan" key to access the inverse tangent function. Enter -√3 and calculate the result. The result should be approximately -60 degrees or -π/3 radians.
Therefore, the angle a can be -60 degrees or -π/3 radians.