Quick Answer: What Does A Negative Sine Mean?

What is Sinπ?

In trigonometry, we use pi (π) for 180 degrees to represent the angle in radians.

Hence, sin π is equal to sin 180 or sin π = 0..

What is the inverse of sine called?

arcsineInverse sine is also called arcsine and is labeled \begin{align*}\sin^{-1}\end{align*} or arcsin. Inverse Cosine: If you know the adjacent side of an angle and the hypotenuse in a right triangle, you can use inverse cosine to find the measure of the angle.

What is the value for sin 30?

0.5The 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.

Why is sin 30 the same as SIN 150?

it’s because the reference angle for 150 is equal to 30. that reference angle is the angle within the triangle formed from dropping a perpendicular to the x-axis of the unit circle. … the internal angle of the triangle in quadrant 2 is equal to 180 – 150 which is equal to 30 degrees. that is called the reference angle.

What happens when a is negative?

In conclusion, as the magnitude of a increases, the graph of the parabola becomes narrower, and as the magnitude of a decreases, the graph of the parabola becomes wider. If a is negative, the graph of the parabola opens down instead of up.

What is F to the negative 1 power?

Notation. The inverse of the function f is denoted by f -1 (if your browser doesn’t support superscripts, that is looks like f with an exponent of -1) and is pronounced “f inverse”. Although the inverse of a function looks like you’re raising the function to the -1 power, it isn’t.

What does sin to the negative 1 mean?

Quick Answer: For a right-angled triangle: The sine function sin takes angle θ and gives the ratio opposite hypotenuse. The inverse sine function sin-1 takes the ratio oppositehypotenuse and gives angle θ And cosine and tangent follow a similar idea.

Is sin 1 the same as 1 sin?

The notation sin-1(x) has been misunderstood to mean 1/sin(x). … So sin-1(x) means the inverse sine of x, that is, the function that undoes the sine function. It is not equal to 1/sin(x).

What is arc sin?

Arcsin definition The arcsine of x is defined as the inverse sine function of x when -1≤x≤1. When the sine of y is equal to x: sin y = x. Then the arcsine of x is equal to the inverse sine function of x, which is equal to y: arcsin x = sin-1 x = y.

Can a sine be negative?

As a result, sine will be positive, but cosine will be negative, and all tangent values will be negative.) In the third quadrant, all x and y values will be negative, so all sine and cosine values will be negative.

What is the period of sin?

The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

What Quadrant is sec negative?

Signs of Angles in Quadrants In the second quadrant, only sine and cosecant (the reciprocal of sine) are positive. In the third quadrant, only tangent and cotangent are positive. Finally, in the fourth quadrant, only cosine and secant are positive.

Is CSC the inverse of sin?

The cosecant is the reciprocal of the sine. The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.

Is cot the inverse of tan?

cot(x) = 1/tan(x) , so cotangent is basically the reciprocal of a tangent, or, in other words, the multiplicative inverse. arctan(x) is the angle whose tangent is x.

What quadrants is sine negative?

The sine ratio is y/r, and the hypotenuse r is always positive. So the sine will be negative when y is negative, which happens in the third and fourth quadrants.

Is sin even or odd?

Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

What does a negative sine graph look like?

The difference with a negative value of a however, is our sine curve now has a negative amplitude. In other words, our graphs are the same as when a was a positive value, but are now reflected across the x-axis. … See how the curve appears to be growing in height in the y direction.