Csc Meaning Math

The secant is the reciprocal of the cosine.

Csc meaning math. Cosecant csc trigonometry function. Using the unit circle ordered pairs we just take the y term and flip it over. For example csc a 1 sin a sec a 1 cos a cot a 1 tan a and tan a sin a cos a. F x csc xis a periodic functionwith period2π.

Csc is the short version of the trigonometry cosecant function. Sin θ tan θ and 1 are the heights to the line starting from the x axis while cos θ 1 and cot θ are lengths along the x axis starting from the origin. Based on the definitions various simple relationships exist among the functions. Graphs of sec x and cosec x.

The circle definition a generalization of sohcahtoa is shown below on the right. In a right angled triangle the cosecant of an angle is. The six trigonometric functions. The points labelled 1 sec θ csc θ represent the length of the line segment from the origin to that point.

In a formula it is abbreviated to just csc. Based on the definitions various simple relationships exist among the functions. For acute angles csc θ can be found by the sohcahtoadefinition shown below on the left. Cosecant abbreviated as csc is the reciprocal of the sine function the cosecant function.

The trig functioncosecant written csc θ. The length of the hypotenuse divided by the length of the side opposite the angle. The cotangent is the reciprocal of the tangent. Note sec x is not the same as cos 1 x sometimes written as arccos x.

To unlock this lesson. Plot of the six trigonometric functions the unit circle and a line for the angle θ 0 7 radians. Used in an equation it might look like csc x 0 88. Csc θ equals.

Csc θ hypotenuse opposite. Cot x 1 cos x. Tan x sin x. For example csc a 1 sin a sec a 1 cos a cot a 1 tan a and tan a sin a cos a.

If sec x 2 cos x x 60º. The six trigonometric functions. The abbreviation is csc. Remember you cannot divide by zero and so these definitions are only valid when the denominators are not zero.

It is not commonly used and is equal to 1 sine. If you have sin x 3 5 then csc x 5 3. Cosec x 1.