How do you solve #Tan 3x = -1#?
1 Answer
The answer is 135°; any other angle can be found by remembering the periodicity of the tan-function, that is to say, 180°.
Explanation:
By applying the mathematical definition of tangent:
By using our demanded value:
By applying the trigonometric property:
By using a calculator, the easy way, or interpolation, the hard way, we get:
Remembering
we get the "basal" value: 135°. and apply:
where n is integer, you can get any other solution.
PS: there is a nice thing to do, a trick I used to apply to my private students, I will try to make a diagram, you can find the basic angles such as the one just presented herein, easily to remember.
