Question

If the terminal side of an angle falls in quadrant IV, then the secant value is?
zero
positive
negative

Answer 1

Answer:

it is positive

Step-by-step explanation:

Secant is just sec which is positive in quadrant 4

Answer 2

If the terminal side of an angle falls in quadrant  $IV$, then the secant value is positive .

What is quadrant  ?

Quadrant  is a region defined by the two axes ($x$-axis and $y$-axis) of the coordinate system. When the two axes, $x$-axis and $y$-axis, intersect each other at $90 ^0$, the four regions so formed are the quadrants. These regions include both positive and negative values of  $x$-axis and $y$-axis, called coordinates.

We know that,

In trigonometry, trigonometric functions i.e. Sinθ, Cosθ, Tanθ, Cosecθ, Secθ, Cosecθ, the sign of value of all these trigonometric functions varies in every quadrant.

In first quadrant Sinθ, Cosθ, Tanθ, Cosecθ, Secθ, Cotθ are positive.

In second quadrant Sinθ and Cosecθ are positive.

In third quadrant Tanθ and Cotθ are positive.

In fourth quadrant Cosθ and Secθ are positive.

So, from the above statements we can say that the value of secant in quadrant  $IV$ is positive .

Hence, we can say that if the terminal side of an angle falls in quadrant  $IV$, then the secant value is positive .

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