What is the opposite of cosine?

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

What is the inverse of cosine?

Inverse cosine is also known as arccosine. It is the inverse of cos function. Also, sometimes abbreviated as 'arccos'. It is used to measure the unknown angle when the length of two sides of the right triangle are known.

Is Sine the opposite of cosine?

Using these names we can list the following standard ratios: sinθ=oppositehypotenuse,cosθ=adjacenthypotenuse,tanθ=oppositeadjacent.

What is opposite sine?

Arcsine is the inverse of sine function. It is used to evaluate the angle whose sine value is equal to the ratio of its opposite side and hypotenuse.

Is cosecant the inverse of cosine?

Given a triangle rectangle, we define the cosecant, the secant and the cotangent of an angle as the inverse ratios of the sine, the cosine and the tangent, respectively.

Inverse Trigonometric Functions

What is COS equal to?

In other words, the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse: Also, cos A = sin B = b/c.

Is inverse cosine the same as secant?

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

Is cosecant sine over 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 .

Why sine is called sine?

The word sine (Latin sinus) comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, itself a transliteration of the Sanskrit word for half of a chord, jya-ardha. The word cosine derives from a contraction of the medieval Latin complementi sinus.

What is cosecant and cotangent?

Cosecant is the reciprocal of sine. Secant is the reciprocal of cosine. Cotangent is the reciprocal of tangent.

Is inverse sin the same as csc?

csc(x)=(sin(x))−1=1sin(x) is the reciprocal of the sin function.

What is cosec?

Cosecant (cosec) is the reciprocal of sin. Cotangent (cot) is the reciprocal of tan.

Is Cos inverse 1 cosine?

cos x⁻¹, sometimes interpreted as (cos(x))⁻¹ = 1cos(x) = sec(x) or secant of x, the multiplicative inverse (or reciprocal) of the trigonometric function cosine (see above for ambiguity)

Is inverse COS the same as arccos?

Arccosine, written as arccos or cos-1 (not to be confused with ), is the inverse cosine function. Cosine only has an inverse on a restricted domain, 0≤x≤π.

Is inverse reciprocal?

“Inverse” and “reciprocal” are terms often used in mathematics. “Inverse” means “opposite.” “Reciprocal” means “equality,” and it is also called the multiplicative inverse.

What is sine in trigonometry?

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

Is csc the opposite of sin?

Cosecant is the reciprocal of sine. Its abbreviation is csc. To determine csc, just flip sin over. Secant is the reciprocal of cosine.

How are secant and cosine related?

Secant is the reciprocal of cosine, or \begin{align*}\frac{1}{x}\end{align*}. Therefore, whenever the cosine is zero, the secant is going to have a vertical asymptote because it will be undefined. It also has the same sign as the cosine function in the same quadrants.