**Sine**, Cosine and Tangent are the main functions

**used in**Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the functions, it helps to give a name to each side of a right triangle: "Adjacent" is adjacent (next to) to the angle θ "Hypotenuse" is the long one.

Also question is, what is sin and cos and tan?

This section looks at Sin, Cos and Tan within the field of trigonometry. A right-angled triangle is a triangle in which one of the angles is a right-angle. The

**hypotenuse**of a right angled triangle is the longest side, which is the one**opposite**the right angle.1

## What does the sine function do?

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).2

## Why is it called a sine wave?

A

**sine wave**or sinusoid is a mathematical**curve**that describes a smooth periodic oscillation. It is named after the function**sine**, of which it is the graph. It occurs often in pure and applied mathematics, as well as physics, engineering,**signal**processing and many other fields.3

## How do you find sin?

Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question. Step 3 For Sine calculate Opposite/Hypotenuse, for Cosine calculate Adjacent/Hypotenuse or for Tangent calculate Opposite/Adjacent. Step 4 Find the angle from your calculator, using one of

**sin**^{-}^{1}, cos^{-}^{1}or tan.4

## What is trigonometry and what is it used for?

Other uses of

**trigonometry**: It is**used**in oceanography in calculating the height of tides in oceans. The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves. Also**trigonometry**has its applications in satellite systems.5

## What is the sine rule?

The

**Sine Rule**. The Law of Sines (**sine rule**) is an important**rule**relating the sides and angles of any triangle (it doesn't have to be right-angled!): If a, b and c are the lengths of the sides opposite the angles A, B and C in a triangle, then: a = b = c. sinA sinB sinC.6

## Is Tan a function?

Trigonometric

**Functions**and Their Graphs:**Tangent**. The next trig**function**is the**tangent**, but that's difficult to show on the unit circle. So let's take a closer look at the sine and cosines graphs, keeping in mind that**tan**(θ) = sin(θ)/cos(θ). The**tangent**will be zero wherever its numerator (the sine) is zero.7

## What is sin equal to?

(1) A convenient mnemonic for remembering the definition of the

**sine**, as well as the cosine and tangent, is SOHCAHTOA (**sine equals**opposite over hypotenuse, cosine**equals**adjacent over hypotenuse, tangent**equals**opposite over adjacent). As a result of its definition, the**sine**function is periodic with period .8

## What is the sin of 1?

As you can see below, the inverse

**sin**^{-}**(**^{1}**1**) is 90° or, in radian measure, Π/2 . '**1**' represents the maximum value of the**sine**function .It happens at Π/2 and then again at 3Π/2 etc.. Below is a picture of the graph**sin**(x) with over the domain of 0 ≤x ≤4Π with**sin**(**1**) indicted by the black dot.9

## What is the opposite of sine?

In addition to sine,

**cosine**, and**tangent**, there are three other trigonometric functions you need to know for the Math IIC: cosecant,**secant**, and cotangent. These functions are simply the reciprocals of sine,**cosine**, and**tangent**. Cotangent is the reciprocal of**tangent**.10

## When can you use the cosine rule?

You can usually

**use**the**cosine rule**when you are given two sides and the included angle (SAS) or when you are given three sides and want to work out an angle (SSS). In order to**use**the sine**rule**, you need to know either two angles and a side (ASA) or two sides and a non-included angle (SSA).11

## What are the six basic trigonometric functions?

The 6 Trig Ratios. For any right triangle, there are six trig ratios: Sine (

**sin**),**cosine**(**cos**),**tangent**(**tan**),**cosecant**(csc),**secant**(sec), and**cotangent**(cot). Here are the formulas for these six trig ratios: Given a triangle, you should be able to identify all 6 ratios for all the angles (except the right angle).12

## What is the sine graph?

The

**graphs**of functions defined by y = sin x are called**sine**waves or**sinusoidal**waves. Notice that the**graph**repeats itself as it moves along the x-axis. The cycles of this regular repeating are called periods. This**graph**repeats every 6.28 units or 2 pi radians.13

## What is cos divided by sin?

The

**tangent**of x is defined to be its sine divided by its cosine:**tan**x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .14

## What is the sin of 0?

(1,

**0**) = (x, y) = (cos**0**,**sin 0**), cos**0**= 1,**sin 0**=**0**. The values of angles outside Quadrant I can be computed using reference angles, and the values of the other trigonometric functions can be computed using the reciprocal and quotient identities.15

## What is cos over sin?

Each of the six trig functions is equal to its co-function evaluated at the complementary angle. Periodicity of trig functions.

**Sine**,**cosine**, secant, and cosecant have period 2π while tangent and cotangent have period π. Identities for negative angles.16

## What is CSC?

A Common Service Center (

**CSC**) is an information and communication technology (ICT) access point created under the National e-Governance Project of the Indian government. The project plan includes the creation of a network of over 100,000 CSCs throughout the country.17

## What are the six trigonometric functions?

**There are six main trigonometric functions:**

- Sine (sin)
- Cosine (cos)
- Tangent (tan)
- Secant (sec)
- Cosecant (csc)
- Cotangent (cot)

18

## Why is sin a equal to COS B?

Therefore the

**cosine**of**B**equals the**sine**of A. We saw on the last page that**sin**A was the opposite side over the hypotenuse, that is, a/c. 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.19

## What is the cosine of A?

In a right angled triangle, the

**cosine**of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is**cos**.**cos**θ = adjacent / hypotenuse.20

## What is tan equal to?

A convenient mnemonic for remembering the definition of the sine, cosine, and

**tangent**is SOHCAHTOA (sine**equals**opposite over hypotenuse, cosine**equals**adjacent over hypotenuse,**tangent equals**opposite over adjacent). These geometrical objects are then called a**tangent**line or**tangent**plane, respectively.