The definition of the sine ratio is the ratio of the length of the opposite side divided by the length of the hypotenuse.

Also, Can sine of an angle ever equal 2?

Sine of an angle cannot be 2,as you must be knowing, sin90=1,u may conclude that sin180=2. but 180 degree cannot be an angle of a triangle, Hope this helps!

Hereof, What are the 3 trig ratios?

There are three basic trigonometric ratios: sine , cosine , and tangent . Given a right triangle, you can find the sine (or cosine, or tangent) of either of the non- 90° angles.

Also to know Why is sine a ratio? And since we’re just talking about sine right now, you can remember sine because it’s sine is the ratio of opposite to hypotenuse. Cosine is the ratio of adjacent to hypotenuse and tangent is the ratio of opposite to adjacent.

What is the ratio of cosecant?

We know that the cosecant is the reciprocal of the sine. Since sine is the ratio of the opposite to the hypotenuse, cosecant is the ratio of the hypotenuse to the opposite.

## Can the cosine of an angle ever be equal to 1?

Originally Answered: can the value of cosine be greater than 1? Consider a right angled triangle. Since adjacent side can never be greater than hypotenuse, cosine of an angle cannot be greater than 1.

## Is it possible for the sine of an angle to be equal to?

Sal shows that the sine of any angle is equal to the cosine of its complementary angle.

## What is the relationship between sine cosine and tangent?

When the ratio involves the sides: oppositehypotenuse it is called Sine . When the ratio involves the sides: adjacenthypotenuse it is called Cosine. When the ratio involves the sides: oppositeadjacent it is called Tangent. The ratios are always found with reference to an angle and they represent a value.

## What is SOH CAH TOA?

“SOHCAHTOA” is a helpful mnemonic for remembering the definitions of the trigonometric functions sine, cosine, and tangent i.e., sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent, (1) (2) (3) Other mnemonics include.

## What is sin a and sin B?

Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle. In ΔABC is an oblique triangle with sides a,b and c , then asinA=bsinB=csinC .

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

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

## What is the correct formula for sine ratio of?

Use sine ratio to calculate angles and sides (Sin = h o )

One of the trigonometric ratios is sine ratio. It is the opposite side over the hypotenuse of right triangles.

## What is the sine ratio of 74?

Sine Cosine Tangent Chart

Angle Sine Cosine
72° 0.95106 0.30902
73° 0.95630 0.29237
74°
0.96126

0.27564
75° 0.96593 0.25882

## What are the six trig ratios?

Sal finds all six trigonometric ratios (sine, cosine, tangent, secant, cosecant, and cotangent) of an angle in a given right triangle.

## What angle has a sine of 1 2?

Sines and cosines for special common angles

60° π/3 √3 / 2
45° π/4 √2 / 2

30°
π/6 1/2
0 0

## Can a sine be negative?

It works only for angles between 0 and 90 degrees. This definition allows sine to take negative values because the vertical coordinate will be negative in the two bottom quadrants.

## Why can tan be greater than 1?

Why the Tangent Function Can be Greater Than 1, But the Sine and Cosine Functions Cannot. Regardless of the angle for which you evaluate tangent, cosine, or sine, you can always think of it as the ratio of two sides of a right triangle. … For the tangent function, you can divide the opposite side by the adjacent side.

## Why sine is called sine?

The word sine comes from the Latin sinus, bosom, because early translators mistook the Arabic word for chord and thought it was the Arabic word for bosom. The “co-” prefix in cosine and cotangent simply stands for co-angle, the complementary angle. The cosine of an angle is the sine of its complementary angle.

## Is tangent sin over COS?

Each of these functions are derived in some way from sine and cosine. The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . … 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 .

## What actually is sin cos and tan?

The sine of one of the angles of a right triangle (often abbreviated “sin”) is the ratio of the length of the side of the triangle opposite the angle to the length of the triangle’s hypotenuse. … SOH → sin = “opposite” / “hypotenuse” CAH → cos = “adjacent” / “hypotenuse” TOA → tan = “opposite” / “adjacent”

## Is SOH CAH TOA only for right triangles?

Q: Is sohcahtoa only for right triangles? A: Yes, it only applies to right triangles. If we have an oblique triangle, then we can’t assume these trig ratios will work. … A: They hypotenuse of a right triangle is always opposite the 90 degree angle, and is the longest side.

## How do I know if I have SOH CAH TOA?

They are often shortened to sin, cos, and tan. The calculation is simply

one side of a right-angled triangle divided by another side

… we just have to know which sides, and that is where “sohcahtoa” helps.

Sine, Cosine and Tangent.

Sine: soh sin(θ) = opposite / hypotenuse
Tangent: toa tan(θ) = opposite / adjacent

Jul 13, 2021

## How do you calculate sin?

In any right angled triangle, for any angle:

1. The sine of the angle = the length of the opposite side. the length of the hypotenuse.
2. The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
3. The tangent of the angle = the length of the opposite side. the length of the adjacent side.