Where is csc Theta undefined?
Cosecant is the reciprocal of sine and cotangent is cosine divided by sine. These functions would be undefined where sine is equal to zero. One such location would be at π .
What if the csc is undefined?
Explanation: If cosecant is undefined, that means it is over 0 . Remember that cosecant is hypotenuse over opposite side (reciprocal of sine).
What is the cosecant of theta?
The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).
What is the value of csc?
The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
Where on the unit circle is csc undefined?
csc(180°)=1sin(180°)=10 . Because we’re dividing by 0, it is undefined. If we tried to make a right triangle on the unit circle with points at the origin, or (0,0) , and the point (1,0) with an angle of 180°, our third point would be (−1,0) .
What does csc graph look like?
The cosecant goes down to the top of the sine curve and up to the bottom of the sine curve. After using the asymptotes and reciprocal as guides to sketch the cosecant curve, you can erase those extra lines, leaving just y = csc x. The figure that follows shows what this function looks like all on its own.
For which value of θ is Tanθ undefined?
| θ | sin θ | tan θ |
|---|---|---|
| 0° | 0 | 0 |
| 90° | 1 | undefined |
| 180° | 0 | 0 |
| 270° | −1 | undefined |
What quadrant is csc less than 0?
Quadrant II
Nghi N. Answer: Quadrant II that is common for both.
For Which angle is the cosecant csc function undefined?
In fact, the value returned by the cosecant function for an angle of either zero degrees or one hundred and eighty degrees is considered to be undefined, since the equation csc (θ ) = 1/sin (θ ) will involve division by zero.
What is cosecant used for?
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
Why is csc of Pi undefined?
Correct answer: Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.