What Is The Reciprocal Of Sin?

What is sin 2x?

Sin(2x) can be written as Sin(x+x) and substitute in equation 2 I.e.

a=x and b=x and solving you get the required equation (equation 1)..

Why is Tan Sin Cos?

Sin is equal to the side opposite the angle that you are conducting the functions on over the hypotenuse which is the longest side in the triangle. Cos is adjacent over hypotenuse. And tan is opposite over adjacent, which means tan is sin/cos.

Is the value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

What is the reciprocal of sin called?

So the reciprocal of the sine function is called the cosecant and is equal to the hypotenuse / opposite. … The cosecant function means 1/sin θ, while the second involves finding an angle whose sine is x.

What are the six reciprocal identities?

The reciprocal identities are: csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = 1/tan(x).

What does Sine mean?

In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse).

Is arcsec the same as 1 Arccos?

Actually it’s: arcsec(x)=arccos(1/x).

How do you find the reciprocal of sin?

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

What is the reciprocal of Tanθ?

The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta). The conventional way to define the trig functions is to start with an acute angle that is an angle with measure \thetabetween 0 and 90 degrees.

What is CSC of an angle?

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.

What are the quotient identities?

In trigonometry, quotient identities refer to trig identities that are divided by each other. There are two quotient identities that are crucial for solving problems dealing with trigs, those being for tangent and cotangent. Cotangent, if you’re unfamiliar with it, is the inverse or reciprocal identity of tangent.

Is sin an XR or a yr?

First, the the secant, cosecant, and cotangent functions are the reciprocals of the cosine, sine, and tangent functions, respectively. Second, there is no value for which the cosine and sine functions are undefined. This is because r is the distant from the origin to the point (x,y) ≠ (0,0) on the terminal ray.

What does R mean in trigonometry?

When you work with angles in all four quadrants, the trig ratios for those angles are computed in terms of the values of x, y, and r, where r is the radius of the circle that corresponds to the hypotenuse of the right triangle for your angle.

What are the 3 reciprocal identities?

Applying the concept of reciprocal identities, mathematicians define three more ratios. Their names are cosecant, secant and cotangent. Cosecant is the reciprocal identity of sine, secant that of cosine and cotangent that of tangent.

Is sin 1 the same as CSC?

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 .