In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite. It is not commonly used, and is equal to 1/sine.

How do you find the value of csc?

csc(x) = (sin(x))⁻¹ . Or, if you prefer fractions, csc(x) = 1 / sin(x) .

What is csc the inverse of?

The cosecant ( csc ⁡ ) (csc) (csc)

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.

In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite. It is not commonly used, and is equal to 1/sine.

How do you get csc 2?

Cosecant squared formula
⁡ θ = 1 + cot 2 ⁡⁡ θ − cot 2 ⁡∴ csc 2 ⁡ θ = 1 + cot 2 ⁡

So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.

What is the value of csc 60?

The exact value of csc(60) is 2√3 .

What is the cosecant of theta?

The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).

Take cosec 180 as zero . It is due to a rule in which after pie or 180 degree same value follow. It is infinity but you take it zero.

What is the value of Cosec 90?

Cosec 90 degrees is the value of cosecant trigonometric function for an angle equal to 90 degrees. The value of cosec 90° is 1.

What is the reference angle for a 240 angle?

A 240-degree angle is between 180 and 270 degrees, so its terminal side is in QIII. Do the operation indicated for that quadrant. Subtract 180 from 240. You find that 240 – 180 = 60, so the reference angle is 60 degrees.