# What are the six functions of trigonometry?

## What are the six functions of trigonometry?

There are six main trigonometric functions:

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

### What are the six trigonometric ratios of a given right triangle?

For any right triangle, there are six trig ratios: Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

Why are there only 6 trigonometric ratios?

There are only 6 trigonometric ratios because only 6 ratios can define ratios of all sides. For example, If you want ratio between perpendicular and hypotenuse there is sin. If you want ratio between perpendicular and base there is tan.

What are the 6 trigonometric ratios and its formulas?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec)….

Trigonometric Ratios
Sin θ Opposite Side to θ/Hypotenuse
Cot θ Adjacent Side/Opposite Side & 1/tan θ
Sec θ Hypotenuse/Adjacent Side & 1/cos θ

## What is the cosine of a triangle?

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. Well Done!

### What angles can make a triangle?

Find the size of the three angles. Sum of the three angles = 180 degrees. Simplify. So, the three angles of a triangle are 60°, 48°, and 72°.

What does a trig function look like?

The trigonometric ratios can also be considered as functions of a variable which is the measure of an angle. The graph of the tangent function looks like this: The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n .

What are the trigonometric functions of a triangle?

It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

## What are the 6 trig ratios of a triangle?

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). Given a triangle, you should be able to identify all 6 ratios for all the angles (except the right angle).

### What is the trigonometric ratio table for six functions?

The trigonometric ratio table for six functions like Sin, Cos, Tan, Cosec, Sec, Cot, are: Trigonometric Ratios/ angle= θ in degree 0 ° 30 ° 45 ° 90 ° Sin θ 0 1/2 1/√2 1 Cos θ 1 √3/2 1/√2 0 Tan θ 0 1/√3 1 ∞ Cosec θ ∞ 2 √2 1

What are the trigonometry functions given by sin and cos?

If θ is an angle of a right-angled triangle, then the trigonometry functions are given by: sin θ = Opposite Side of angle θ/Hypotenuse cos θ = Adjacent Side of angle θ/Hypotenuse tan θ = Opposite Side of angle θ/Adjacent