How do you evaluate tan (-30)?

We need to find the value of tan (-30)

Solution

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°

We know,

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

tan (-30)

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

Answer

The value of tan(-30)= -1/√3

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