We need to find the value of tan (-30)
First let us find the value of tan 30
We can also represent the tangent function as the ratio of the sine function and cosine function.
Tan α = sin α/cos α
So, tan 30 degrees we can write as;
Tan 30°=sin 30°/cos 30°
Sin 30° = 1/2 & Cos 30° = √3/2
Tan 30° = (1/2) /(√3/2)
Tan 30° = 1/√3
Hence, the value of Tan 30 degrees is 1/√3
An angle of −30 lies in the 4th quadrant. The opposite side (y value) is negative, which causes tan values in the 4th quadrant to be negative.
Hence tan (-30)= – tan 30 = -1/√3
The value of tan(-30)= -1/√3