Table of Contents
What can sine not equal?
The range of function sin x is [-1,1]. Thus, sin x can have values from -1 to 1 but cannot have value less than -1 and more than 1. SIn and Cos values can’t be greater than 1 because limits of Sin and Cos functions are from -1 to 1 so they can’t exceed 1.
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.
What is sin inverse X?
We denote the inverse function as y=sin−1(x) . It is read y is the inverse of sine x and means y is the real number angle whose sine value is x . To graph the inverse of the sine function, remember the graph is a reflection over the line y=x of the sine function.
What is Hyp OPP?
Always, always, the sine of an angle is equal to the opposite side divided by the hypotenuse (opp/hyp in the diagram). The cosine is equal to the adjacent side divided by the hypotenuse (adj/hyp).
What is domain of sine?
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
Is Arctan adj OPP?
As before, the functions are usually abbreviated: arcsine (arcsin), arccosine (arccos), arctangent (arctan) arccosecant (arccsc), arcsecant (arcsec), and arccotangent (arccot)….Math2.org Math Tables:
| f(q) = opp/opp | f(q) = opp/adj | f(q) = opp/hyp |
|---|---|---|
| f(q) = hyp/opp | f(q) = hyp/adj | f(q) = hyp/hyp |
Is sin(x) an odd or even function?
They got called “odd” because the functions x, x 3, x 5, x 7, etc behave like that, but there are other functions that behave like that, too, such as sin(x): Sine function: f(x) = sin(x) It is an odd function. But an odd exponent does not always make an odd function, for example x 3 +1 is not an odd function. Neither Odd nor Even
What is the period of the sin x function?
The period of the sin(x) sin ( x) function is 2π 2 π so values will repeat every 2π 2 π radians in both directions.
What is the formula for double angle sin 2x?
Double Angle Formulas sin (2X) = 2 sinX cosX cos (2X) = 1 – 2sin 2 X = 2cos 2 X – 1 tan (2X) = 2tanX / [ 1 – tan 2 X ]
Is f(x) = x2+1 an even function?
This is the curve f(x) = x 2+1. They got called “even” functions because the functions x 2, x 4, x 6, x 8, etc behave like that, but there are other functions that behave like that too, such as cos(x): Cosine function: f(x) = cos(x) It is an even function.