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.1

## 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.2

## How do you find tan?

**Example**

- Step 1 The two sides we know are Opposite (300) and Adjacent (400).
- Step 2 SOHCAHTOA tells us we must use Tangent.
- Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
- Step 4 Find the angle from your calculator using tan
^{-}^{1}

3

## How do you know when to use Sin Cos or tan?

**In any right angled triangle, for any angle:**

- The sine of the angle = the length of the opposite side. the length of the hypotenuse.
- The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
- The tangent of the angle = the length of the opposite side. the length of the adjacent side.

4

## 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.5

## What is the Cotangent?

Cosecant, Secant, and

**Cotangent**. 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. Cosecant. Cosecant is the reciprocal of sine.6

## What is the rule for Sin Cos Tan?

The functions of

**sin**,**cos**and**tan**can be calculated as follows: Sine Function:**sin**(θ) = Opposite / Hypotenuse.**Cosine**Function:**cos**(θ) = Adjacent / Hypotenuse. Tangent Function:**tan**(θ) = Opposite / Adjacent.7

## What is the COT equal to?

The trig function

**cotangent**, written**cot**θ.**cot**θ**equals**or . For acute angles,**cot**θ can be found by the SOHCAHTOA definition, shown below on the left. The circle definition, a generalization of SOHCAHTOA,**is**shown below on the right. f(x) =**cot**x**is**a periodic function with period π.8

## What is cos sin equal to?

In a right triangle ABC, whose right angle is A, the tangent ratio of the angle B is the opposite leg over the adjacent leg. Therefore, in a right angle triangle, the tangent ratio of an angle, except the right angle, is: tan =

**sin**/**cos**.9

## Is SEC the same as 1 cos?

**Secant**, cosecant and cotangent, almost always written as

**sec**, cosec and cot are trigonometric functions like sin,

**cos**and tan. Note,

**sec**x is not the same as

**cos**

^{-}

**x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid when the denominators are not zero.**

^{1}10

## What are the three Pythagorean identities?

The

**identity**is given by the formula: (Note that sin^{2}θ means (sin θ)^{2}). This relation between sine and cosine is sometimes called the fundamental**Pythagorean**trigonometric**identity**. Therefore, this trigonometric**identity**follows from the**Pythagorean**theorem.11

## What is the COT in trig?

cotangent(q) = adj/opp. The functions are usually abbreviated: sine (sin), cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (

**cot**). It is often simpler to memorize the the**trig**functions in terms of only sine and cosine: sine(q) = opp/hyp.12

## What is a tangent in math?

1.Geometry. A line which touches a circle or ellipse at just one point. Below, the blue line is a

**tangent**to the circle c. Note the radius to the point of tangency is always perpendicular to the**tangent**line. For more on this see**Tangent**to a circle.13

## How do you find the period?

If your trig

**function**is either a tangent or cotangent, then you'll need to divide pi by the absolute value of your B. Our**function**, f(x) = 3 sin(4x + 2), is a sine**function**, so the**period**would be 2 pi divided by 4, our B value.14

## 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 .15

## What is the reciprocal 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.16

## How do you find a reference angle?

**Find the reference angle for 200 degrees:**

- Determine the quadrant in which the terminal side lies. A 200-degree angle is between 180 and 270 degrees, so the terminal side is in QIII.
- Do the operation indicated for that quadrant. Subtract 180 degrees from the angle, which is 200 degrees.

17

## What is the equivalent of Secant?

Here are two helpful hints: Each of those definitions has a cofunction on one and only one side of the equation, so you won't be tempted to think that sec A

**equals**1/sin A. And**secant**and cosecant go together just like sine and cosine, so you won't be tempted to think that cot A**equals**1/sin A.18

## 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.