Question

State the signs of i) tan380

Answer 1

Answer:

Hence, the sign will be positive.

Step-by-step explanation:

Consider the provided angle.

The provided angle is tan 380°.

In first quadrant all trigonometry identity are positive.

In second quadrant only sin and csc are positive.

In third quadrant only tan and cot are positive.

In fourth quadrant only cos and sec are positive.

Now consider the provided angle tan 380°

380° - 360° = 20° which is lies in first quadrant.

The sign of tanθ is positive in first quadrant, therefore the sign will be positive.

Or

tan(360° +  θ) = tan θ

Hence, the sign will be positive.