Where is the cosecant function undefined?

Where is the cosecant function 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 (0) is 0, so the cosecant of 0 must be undefined.

Which angle has a cosecant that is 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. The same is true for an angle of three hundred and sixty degrees (360°).

What values between 0 degree and 360 degree may a have when?

Between 0° and 360°, this will happen when θ = 90°, or θ = 270°.

What is the value of Cosec 360 degree?

FAQs on Cosec 360 Degrees Cosec 360 degrees is the value of cosecant trigonometric function for an angle equal to 360 degrees. The value of cosec 360° is undefined(∞).

What is a cosecant function?

The classical definition of the cosecant function for real arguments is: “the cosecant of an angle in a right‐angle triangle is the ratio of the length of the hypotenuse to the length of the opposite leg.” This description of is valid for when this triangle is nondegenerate.

In what quadrant is the value of cosecant function less than zero?

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

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.

What’s the difference between 0 and 360 degrees?

For the purposes of designating a point in the plane, yes, 0 degrees equals 360 degrees. That is to say, in polar coordinates (r, ), the points (1, 0) and (1, 360) refer to the same point.

Is the Cosecant function even or odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions.

What is the exact value of sin 360?

0
FAQs on Sin 360 Degrees Sin 360 degrees is the value of sine trigonometric function for an angle equal to 360 degrees. The value of sin 360° is 0.

How do you find the cosecant of a function?

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 .

What is the COs of sin 120 in the 2nd quadrant?

60 . It is easy to remember and sign is decided by the angle quadrant. Since 120 lies in II quadrant ,cos is negative 60. Here since sin is positive in II quadrant, we put positive sign

Which quadrant are sin and cosec function and rest are negative?

S ILVER – sin and cosec function are positive ,rest are negative in II Quadrant T EA – tan and cot function are positive, rest are negative in III Quadrant C UPS – cos and sec function are positive , rest are negative in IV quadrant

How to remember the trigonometric table for 120 to 360?

Now to remember the Trigonometric table for 120 to 360 , we just to need to remember sign of the functions in the four quadrant. We can use below phrase to remember A LL – All the trigonometric function are positive in Ist Quadrant S ILVER – sin and cosec function are positive ,rest are negative in II Quadrant