Question

state the sign of trigonometry function 1)Tan(250°)

Answer 1

Tan 250°

250° lies in the third quadrant as

180 < 250 < 270

And we know that Tan is positive in third quadrant.

Hence Tan 250 has a positive sign.



Hope it helps!!!

Answer 2

TRIGONOMETRY

Given:

tan (250°)

To Find:

Sign of the given trigonometric function

Solution:

tan (250°) can also be written as tan (180° + 70°)

Mathematically,

tan (250°) = tan (180° + 70°)

⇒ The given trigonometric function lies in the third quadrant in which the measure of angle is greater than 180° but smaller than 270°. In Third Quadrant, tangent or tan and cotangent or cot are positive while other trigonometric functions are negative.

∵ tan (250°) lies in the Third Quadrant (3rd Quadrant),

∴ It has a positive sign.