The cosecant function is undefined at which of the following angles?

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The cosecant function is undefined at which of the following angles?

In fact, the value returned by the cosecant function is the angle of zero or one hundred and eighty degrees is considered undefined because the equation csc (θ ) = 1/sin(θ) would involve division by zero. The same is true for an angle of three hundred sixty degrees (360°).

What is the angle for which the cosecant is undefined?

Trigonometric functions are undefined when representing fractions The denominator is zero. The cosecant is the inverse of the sine, so the cosecant of any angle x for which sin x = 0 must be undefined because its denominator is equal to 0. The value of sin(0) is 0, so the cosecant of 0 must be undefined.

Why is csc 180 undefined?

csc(180°)=1sin(180°)=10. Since we divide by 0 it is undefined…the « opposite side » of this triangle does not exist, so we call this cosecant undefined.

Which theta value is undefined by csc?

csc(θ) is not defined in θ=0θ=π and θ=2π , but we can use a calculator to get information about the behavior csc(θ) close to these values.

In which of the following angles is the secant function undefined?

In fact, the value returned by the secant function for any angle Ninety degrees or two hundred and seventy degrees is considered undefined because the equation sec (θ ) = 1/cos(θ) would involve division by zero.

Calculate the cosecant function with a calculator

42 related questions found

Which values ​​of tan are undefined?

Answer and explanation: The tangent function tan(x) is undefined when x = (π/2) + πkwhere k is any integer.

Can the angle be uncertain?

we can use line undefined. That is, we can define an angle as an angle created where two are not parallel…

What is the value of CSC Theta?

However, as the value of sin (θ ) approaches zero, the value of csc (θ ) tends to to infinity. Therefore, the value of csc (θ ) when sin (θ ) equals 0 is said to be undefined.

What is the duration of the CSC?

Explanation: By definition, csc(x)=1sin(x) .Therefore, its period is the same as that of sin(x), i.e. .

Why is sec270 undefined?

At zero degrees, this tangent length will be zero. Therefore, tan(0)=0. …in the third quadrant, the extended hypotenuse will now intersect the tangent above the x-axis, which is now positive again.At 270 degrees we again get undefined (und) results because we can’t divide by zero..

What is the value of csc 270?

Since the cosecant function is the inverse of the sine function, 1 / sin 270° = csc270°.

What is the value of Cosec 180 degrees?

Therefore, the value of cos 180° is -1.

What degree of tan is undefined?

As shown in the figure, Tan 90 degree unit The circle value is undefined or infinite.

What is a cotangent?

The cotangent (Figure 8) is Draw a tangent to the unit circle through point B of the perpendicular diameter. The tangent is the tangent segment between the tangent A and the intersection of the tangent and the radius line (D, E, etc., Figure 7).

cos (- 60?

because 60 = 0.5.

What is the reference angle for the 240 angle?

A 240 degree angle is between 180 and 270 degrees, so its terminal side is in QIII. Perform the action indicated by that quadrant. Subtract 180 from 240.You will find that 240 – 180 = 60, so the reference angle is 60 degrees.

What is a time of crime?

The period of the sine function iswhich means that the value of the function is the same every 2π units.

What is the period of Y?

For y=2sinx, the magnitude is 2. The period of a graph is how often the graph repeats itself. A graph with y=sinx will repeat its pattern every 360∘.

What is the exact value of csc ?

you can’t get the exact value; Considering csc(x)=1sin(x) and sin(π)=0 you get: csc(π)=1sin(π)=10 which cannot be calculated.

What are the six trigonometric functions of 45 degrees?

1 answer

  • sin(−45)=−sin45=−(1√2)
  • csc(−45)=−csc45=−1sin45=−√2)
  • cos(−45)=cos45=−(1√2)
  • sec(-45)=sec45=1cos45=√2)
  • tan(-45)=-tan45=-1.
  • Crib(-45)=-Crib45=-1tan45=-1.

What are the 6 trigonometric functions of 180?

1 answer

  • sin180∘=0.
  • cos180∘=−1.
  • tan180∘=0.
  • sec180∘=-1.
  • Crib 180∘=∞

Why is tan 90 not defined?

Hence, tan90∘=10 , because anything divided by zero becomes indeterminate or infinite.therefore value tan90∘ undefined.

Is line an undefined term?

In geometry, points, lines, surfaces considered undefined term Because they are explained using only examples and descriptions.

Why is tan at 30?

Tan 30 degrees is equal to 1/√3 Its exact value is 0.57735.

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