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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.

What Quadrant is sec negative?

Quadrant 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?

Four Quadrants

  • 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.

In what quadrant is a if SEC A is positive and CSC A is negative?

1 Answer. Nghi N. Answer: Quadrant II that is common for both.

What is the sign for sine?

We will call the ratio of the opposite side of a right triangle to the hypotenuse the sine and give it the symbol sin.

How do you find the angle in a second quadrant?

= −tan 30° = − . In general, if θ lies in the second quadrant, the acute angle 180° − θ is called the related angle for θ….

  1. find the related angle,
  2. obtain the sign of the ratio by noting the quadrant,
  3. evaluate the trigonometric ratio of the related angle and attach the appropriate sign.