Question: What Is CSC Equivalent To?

What are the 9 trig identities?

Angle Sum and Difference IdentitiesNote that means you can use plus or minus, and the.

means to use the opposite sign.sin(A B) = sin(A)cos(B) cos(A)sin(B)cos(A B) = cos(A)cos(B) sin(A)sin(B)tan(A B) = tan(A) tan(B)1 tan(A)tan(B)cot(A B) = cot(A)cot(B) 1cot(B) cot(A).

What is CSC in sin and cos?

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. Created with Raphaël A A A C B a c.

What are the six trigonometric functions?

These functions often appear in the solution of differential equations and functional equations. The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Where is CSC negative?

Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4.

Does sin 1 equal CSC?

Sine of an angle is the side of the triangle that does not touch the angle divided by the hypotenuse. … cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.

What is the inverse of tan?

So, the inverse of a tangent is called the arctangent (or arctan for short).

What is the inverse of tan 1?

Alright, archtan / tan−1(x) is the inverse of tangent. Tan is sincos . Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4. Knowing this we are solving for the inverse of tan -1.

Is arcsec the same as 1 Arccos?

Actually it’s: arcsec(x)=arccos(1/x).

Is cot Tan 1?

tan x−1, sometimes interpreted as (tan(x))−1 = 1tan(x) = cot(x) or cotangent of x, the multiplicative inverse (or reciprocal) of the trigonometric function tangent (see above for ambiguity)

What does SOH CAH TOA mean?

sine equals opposite over hypotenuse”SOHCAHTOA” is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1)

What is CSC equal to?

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 .

Is CSC positive or negative?

Signs of Angles in Quadrants In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In the third quadrant, only tangent and cotangent are positive. Finally, in the fourth quadrant, only cosine and secant are positive.

Is cot the inverse of tan?

cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse. arctan(x) is the angle whose tangent is x.

Which quadrants is tan negative?

The tangent ratio is y/x, so the tangent will be negative when x and y have opposite signs. This occurs in the second quadrant (where x is negative but y is positive) and in the fourth quadrant (where x is positive but y is negative).

What quadrant is sin positive and tan negative?

Quadrants and the “cast” Rule In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only. In the third quadrant, the values for tan are positive only.

What is tan math?

In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side. The abbreviation is tan. tan(θ) = opposite / adjacent.