How do you graph CSC?

Drawing the cosecant curve by using the sine as a guide. 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.

How do you graph a csc equation?

To graph y = csc x, follow these steps:

1. Sketch the graph of y = sin x from –4π to 4π, as shown in this figure. …
2. Draw the vertical asymptotes through the x-intercepts, as the following figure shows. …
3. Draw y = csc x between the asymptotes and down to (and up to) the sine curve, as shown in the following figure.

How do you graph a csc transformation?

Video quote: Remember if it's X plus 1/2 it's going to be to the left if it was X minus 1/2 it be to the right and then C determines the vertical shift. So this graph is shifted up three units.

How do you graph csc and SEC functions?

Video quote: So if I want to graph cosecant I'll start at the peak. Go through that point and towards the asymptote peek through the point towards the asymptote peek through the point towards the asymptote peek.

How do you graph a SEC graph?

Follow these steps to picture the parent graph of secant:

1. Find the asymptotes of the secant graph. …
2. Calculate what happens to the graph at the first interval between the asymptotes. …
3. Repeat Step 2 for the second interval. …
4. Repeat Step 2 for the last interval. …
5. Find the domain and range of the graph.

How do you write cosecant?

Cosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular. Since it is the reciprocal of sine, we write it as csc x = 1 / sin x.

What is a cosecant graph?

The cosecant graph has vertical asymptotes at each value of x where the sine graph crosses the x-axis; we show these in the graph below with dashed vertical lines. Note that, since sine is an odd function, the cosecant function is also an odd function. That is, csc(−x)=−cscx.

What is the csc in math?

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.

How do you find cosecant on a calculator?

Video quote: So for example if I wanted the cosecant of 70 degrees now anytime that you're using your sine cosine and tangent buttons in your calculator. You need to make sure that you check your mode.

How do you find the csc theta of a triangle?

Video quote: So yes cosecant is just gonna be the reciprocal. Right. So we have hypotenuse over opposite now do we have an opposite here no we do not.

How do you find csc SEC and cot?

Video quote: Over opposite and so what's the hypotenuse over the opposite. Well the hypotenuse is 13. And the opposite side is 12. I notice 13 12 is a reciprocal of 12 13. Now secant of a it's the reciprocal.

How do you find csc without a calculator?

Video quote: So using our reference triangles. We'll find an angle where cosecant theta equals square root 2 over 1 1 for 1 or 2 where sine theta equals 1 divided by square root. 2.

How do you find the csc on the unit circle?

The cosecant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y ⁡ t = 1 y .

How do you find the SEC of a triangle?

The secant of an angle in a right triangle is the value found by dividing length of the hypotenuse by the length of the side adjacent the given angle. The secant ratio is the reciprocal of the cosine ratio.

How do you use secant?

Video quote: Data is adjacent over hypotenuse so the secant of theta is hypotenuse over adjacent now knowing that PI over three is the same thing as 60 degrees.

Is SEC the inverse of cos?

The secant function is a multiplicative inverse to the cosine function, which is defined off the zeroes of the cosine function.

How do you find an angle using secant?

Video quote: It's much easier for me to figure out secant of 2 is equal to cosine of what happened those are the exact same. So where is my cosine at what angle theta is cosine equal to 1/2.

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 is csc Trig?

Cosecant (csc) – Trigonometry function



In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just ‘csc’. csc. x.

Is csc the same as sin 1?

It is important to note that there is a big difference between the reciprocal value csc θ and sin^–1x. The cosecant function means 1/sin θ, while the second involves finding an angle whose sine is x.

What is the inverse of csc?

The inverse function of cosecant. Basic idea: In order to find csc^–1 2, we ask “what angle has cosecant equal to 2?” The answer is 30°. As a result we say csc^–1 2 = 30°. In radians this is csc^–1 2 = π/6.

How do you find the arc Cosec?

Video quote: It is sine. So i'm going to hit second sine but i'm not going to put in 3 over 2 i'm going to put in guess what 2 divided by 3 close the parentheses.