Question: What Is CSC In Terms Of Sin And Cos?

What are six trigonometric functions?

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent.

These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot..

How do you solve CSC?

The cosecant of an angle in a right triangle is a relationship found by dividing the length of the hypotenuse by the length of the side opposite to the given angle. This is the reciprocal of the sine function.

What is CSC in terms of sin?

cosecant. The cosecant is the reciprocal of the sine. csc ⁡ ( A ) = 1 sin ⁡ ( A ) \csc(A)=\dfrac{1}{\sin(A)} csc(A)=sin(A)1. secant. The secant is the reciprocal of the cosine.

What trig function is CSC?

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’. They can be easily replaced with derivations of the more common three: sin, cos and tan. …

Does sin go with CSC?

So far in this course, the only trigonometric functions which we have studied are sine and cosine. … 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 .

What is the difference between sin 1 and CSC?

arcsin is the inverse of the sin function. Meaning that sin(arcsin(x)) = x. … cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined.

What is sin equal to?

Always, always, the sine of an angle is equal to the opposite side divided by the hypotenuse (opp/hyp in the diagram). The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp). (1) Memorize: sine = (opposite side) / hypotenuse. cosine = (adjacent side) / hypotenuse.

What is cosine in terms of sine?

with text by Lewis Lehe. Sine and cosine — a.k.a., sin(θ) and cos(θ) — are functions revealing the shape of a right triangle. Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .

What is CSC 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.

Is inverse sin the same as CSC?

Inverse Reciprocal Trigonometric Functions We already know that the cosecant function is the reciprocal of the sine function. This will be used to derive the reciprocal of the inverse sine function. Because cosecant and secant are inverses, \begin{align*}\sin^{-1} \frac{1}{x} = \csc^{-1} x\end{align*} is also true.

Is arcsec the same as 1 Arccos?

arccos(1x)=arcsecx.

What are the 6 reciprocal identities?

Terms in this set (6)sin. 1/csc.cos. 1/sec.tan. 1/cot.cot. 1/tan.sec. 1/cos.csc. 1/sin.