What Is Sin Equal To?

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..

What is tan formula?

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. … In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’.

What is sin used for?

The sine function is defined as the ratio of the side of the triangle opposite the angle divided by the hypotenuse. This ratio can be used to solve problems involving distance or height, or if you need to know an angle measure. Example: Imagine a ship that is tethered to an anchor on the ocean floor.

How do you convert sin to degrees without a calculator?

If sin(theta) = x, theta = arcsin(x) = approx x + (1/6) x^3+ (3/40) x^5 + (5/112) x^7 + (35/1152) x^9. Then you will have to change to degrees by multiplying by 180 / pi. Doing all that arithmetic by hand (which would be without a calculator) ?

What is the formula for 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 .

Is sin 1 the same as CSC?

Sine of an angle is the side of the triangle that does not touch the angle divided by the hypotenuse. … cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.

What is the value of sin?

We know that the exact value of sin 0 degree is 0. Therefore, the value of sin 180 degrees = 0. The value of sin pi can be derived from some other trigonometric angles and functions like sine and cosine functions from the trigonometry table.

How do you calculate sin?

Sin, Cos and TanThe 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.

What is value of sin 2pi?

Trig Values on the unit circleABsin 2pi0cos 2pi1tan 2pi0sin 0pi047 more rows

What is the opposite of CSC?

Cosecant, Secant and CotangentCosecant Function:csc(θ) = Hypotenuse / OppositeSecant Function:sec(θ) = Hypotenuse / AdjacentCotangent Function:cot(θ) = Adjacent / Opposite

Is sin 1 the same as Arcsin?

Strictly speaking, the symbol sin-1( ) or Arcsin( ) is used for the Arcsine function, the function that undoes the sine. … Think of the Arcsine as the principal arcsine. Restrict the domain to take this inverse function. A function can only be an inverse if it is 1-to-1 and undoes exactly the desired function.

What is sin equal to in math?

Sine (sin) function – Trigonometry. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse. … Use your calculator to find the sine of 30°. It should come out to 0.5 as above.

What is the value of Cosec 180 degree?

Cosine Pi Value Derivation: Method 2 The value of sin 90 degree is 1. Therefore, the value of cos 180° is -1. The value of trigonometric ratios for different angles are given for the reference.

What is CSC equal to?

The cosecant is the reciprocal of the sine. csc ⁡ ( A ) = 1 sin ⁡ ( A ) \csc(A)=\dfrac{1}{\sin(A)} csc(A)=sin(A)1. secant. The secant is the reciprocal of the cosine.

Is the value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

Is the value of sin 180 degree?

θsin θcos θ90°10180°0−1270°−10360°011 more row

Which is the sin 30?

The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.