## What is determined by the points that are not in the domain?

The vertical asymptote of a function secant are determined by the points that are not in the domain. Step-by-step explanation: The domain of a function is the set of x values for which the function is defined.

## How do you find the vertical asymptotes of a secant function?

Draw the vertical asymptotes through the x-intercepts (where the curve crosses the x-axis), as the next figure shows. The vertical asymptotes of secant drawn on the graph of cosine. Draw y = sec x between the asymptotes and down to (and up to) the cosine curve, as shown in this figure.

## Does Secant have vertical asymptotes?

There are only vertical asymptotes for secant and cosecant functions.

## Where are the Asymptotes located on the secant graph?

The asymptotes of cosecant and cotangent are the integers multiples of pi, the asymptotes of secant are at pi over 2 plus the integers multiples of pi.

## What is the range of a secant graph?

The graph of the secant function looks like this: The domain of the function y=sec(x)=1cos(x) is again all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the function is y≤−1 or y≥1 .

## Where is SEC negative?

Like the cosine function, the secant function returns positive values for angles in Quadrants I and IV, and negative values for angles in Quadrants II and III.

## Where is Sec positive?

Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4.

## Is Sec 2 always positive?

Derivative of tan(x) On then right is its derivative, sec2(x). If you move the x slider, you will see that the slope is always positive (up and to the right), confirming that the derivative must also always be positive.

## How do you determine if a trig function is positive or negative?

Signs of Angles in Quadrants The distance from a point to the origin is always positive, but the signs of the x and y coordinates may be positive or negative. Thus, in the first quadrant, where x and y coordinates are all positive, all six trigonometric functions have positive values.

## What is the ASTC rule?

The abbreviation for ‘all sin cos tan’ rule in trigonometry is ASTC. The first letter of the third word T indicates that tangent and its reciprocal is positive in the third quadrant. The first letter of the last word C indicates that cosine and its reciprocal are positive in the fourth quadrant.

## What is function value in TRIG?

Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3(pi)/2 in radians.) The value of sin (0) is 0, so the cosecant of 0 must be undefined.

## What quadrants are the trig functions positive and negative?

• In Quadrant I both x and y are positive,
• in Quadrant II x is negative (y is still positive),
• in Quadrant III both x and y are negative, and.
• in Quadrant IV x is positive again, and y is negative.