cosθ is equal to **adjacent side over hypotenuse** that is cosθ= Hypotenuse Adjacentside. Here, in the given figure, opposite side AB=10, adjacent side BC=24 and the hypotenuse AC=26, therefore, sinθ and cosθ can be determined as follows: sinθ= Hypotenuse Oppositesid = ACAB.

Also, How do you convert sin to 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** .

Hereof, What is the formula of cosA cosB?

2 cosA **cosB = cos(A + B) + cos(A − B)** 2 sinA sinB = cos(A − B) − cos(A + B)

Also to know What is S in trigonometry? The formula is **S=rθ** where s represents the arc length, S=rθ represents the central angle in radians and r is the length of the radius.

What are the 3 trigonometric identities?

The three main functions in trigonometry are

Sine, Cosine and Tangent

.

…

Sine, Cosine and Tangent.

Sine Function: | sin(θ) = Opposite / Hypotenuse |
---|---|

Tangent Function: | tan(θ) = Opposite / Adjacent |

**17 Related Questions Answers Found**

Table of Contents

**Is sin 1 the same as csc?**

sin^{−}^{1}x = sin^{−}^{1}(x), sometimes interpreted as (sin(x))^{−}^{1} = 1sin(x) = csc(x) or cosecant of x, the multiplicative inverse (or reciprocal) of the trigonometric function sine (see above for ambiguity)

**Where does sin equal?**

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). What is the sine of B in the diagram? Remember opp/hyp: the opposite side is b and the hypotenuse is c, so sin B = b/c.

**What’s the inverse of sine?**

What is arcsin? **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.

**What is sinA * cosA?**

sinA×cosA=**1/2 ×sin2A**. =sinAsin(pi/2-2A)

**What is cosA cosA?**

From Wikipedia, the free encyclopedia. COSA is an acronym and may refer to: **Circles of Support and Accountability**, are groups of volunteers with professional supervision to support sex offenders as they reintegrate into society after their release from incarceration.

**What is cosA cosB?**

The identities

2 sinA cosB = sin(A + B) + sin(A − B) 2 cosA cosB = cos(**A −** B) + cos(A + B) 2 sin A sin B = cos(A − B) − cos(A + B) sin2 A + cos2 A = 1.

**Is Theta or radians a degree?**

Degrees measure angles by how far we tilted our heads. Radians measure angles by distance traveled. or angle in radians (theta) is **arc length (s) divided by radius (r)**. A circle has 360 degrees or 2pi radians — going all the way around is 2 * pi * r / r.

**What if the opposite side is the hypotenuse?**

We will call the ratio of the opposite side of a right triangle to the hypotenuse the sine and give it the **symbol sin**. The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos.

**What are the six trigonometric functions?**

There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are **sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc)**.

**What are the 9 trigonometric identities?**

Trigonometric Identities List

- Sin θ = 1/Csc θ or Csc θ = 1/Sin θ
- Cos θ = 1/Sec θ or Sec θ = 1/Cos θ
- Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

**What is the basic concept of trigonometry?**

Trigonometry Basics

The three basic functions in trigonometry are **sine, cosine and tangent**. Based on these three functions the other three functions that are cotangent, secant and cosecant are derived. All the trigonometrical concepts are based on these functions.

**What are the 11 trig identities?**

Terms in this set (11)

- sinx. 1/cscx.
- cosx. 1/secx.
- tanx. 1/cotx.
- cscx. 1/sinx.
- secx. 1/cosx.
- cotx. 1/tanx.
- tanx. sinx/cosx.
- cotx. cosx/sinx.

**What is the opposite of csc?**

Cosecant Function: csc(θ) = **Hypotenuse** / Opposite. Secant Function: sec(θ) = Hypotenuse / Adjacent.

**Is cot inverse tan?**

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

**What does csc stand for in 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.

**Why sine is called sine?**

The word “sine” (Latin “sinus”) **comes from a Latin mistranslation by Robert of Chester of the Arabic jiba**, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

**Why sine is opposite over hypotenuse?**

The sine is always the measure of the opposite side divided by the measure of the hypotenuse. Because the hypotenuse is always the longest side, **the number on the bottom of the ratio will always be larger than that on the** top. … Use the ratio for sine, opposite over hypotenuse.

**What exactly is sine?**

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 the formula of tan inverse?**

Table of Inverse Trigonometric Functions

Function Name | Notation | Definition |
---|---|---|

Arctangent or Inverse tangent |
y=tan-1(x) |
x=tan y |

Arccotangent or Inverse Cot | y=cot-1(x) | x=cot y |

Arcsecant or Inverse Secant | y = sec-1(x) | x=sec y |

Arccosecant | y=cosec-1(x) | x=cosec y |

**What is Arctan 1 in terms of pi?**

Only **π4** falls into this interval. Thus, arctan1=π4 .

**Does Sinx have an inverse?**

We denote the inverse function as **y=sin−1(x)** . It is read y is the inverse of sine x and means y is the real number angle whose sine value is x . Be careful of the notation used.