Can the sine ratio be more than one?

Can the sine ratio be more than one?

A = 1 is if a = c, but that would make for a strange triangle!), the sine ratio cannot be greater than 1.

Is sine function many to one?

We can see that sin is a one-to-one function on the interval [−π2,π2], but not on any larger interval containing the origin. We restrict the domain of y=sinx to [−π2,π2]. This restricted function, with domain [−π2,π2] and range [−1,1], is one-to-one.

What is the maximum sine?

Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1.

Can the sine of an angle be 1?

It answers the question “what angle has sine equal to opposite/hypotenuse?” The symbol for inverse sine is sin-1, or sometimes arcsin.

Why can’t the sine of an angle be greater than 1?

Note: Since the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse, the values will never be more than 1, because (some number) / (a bigger number) from a right triangle is always going to be smaller than 1.

Is Sinx one-to-one or onto?

The sine function is onto — for every element in the range of the function, , there exists an element in the domain, , such that . However, the sine function is not one-to-one.

Can many-to-one be a function?

Any function is either one-to-one or many-to-one. A function cannot be one-to-many because no element can have multiple images. The difference between one-to-one and many-to-one functions is whether there exist distinct elements that share the same image. There are no repeated images in a one-to-one function.

What are the maximum and minimum values of sin theta?

What is the minimum value of sin A?

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.

What is sin 1 called?

The inverse sine function or Sin-1 takes the ratio, Opposite Side / Hypotenuse Side and produces angle θ. It is also written as arcsin.