What is the exact value of sin15?

What is the exact value of sin15?

Value of Sin 15 degree = (√3 – 1) / 2√2.

How do you calculate sine degrees?

For example, sin^-1(0.8) = 53.130 degrees. On some calculators, you may have to hit the sin^-1 key first, type in your ratio and then press enter. Either way, once you have your angle, you can figure out the remaining angle by subtracting your result from 90.

Is Secx an even function?

If a function is odd, f(−x)=−f(x) , which means that its graph is symmetric with respect to the origin. In this case, we can see that the graph is symmetric with respect to the y -axis. Thus, f(x)=secx is an even function.

How do you prove that a sin is an odd function?

Luca B. You need to remember the definition of an odd function: f(-x) = -f(x). You may consider sin(-x) = sin(0-x). The last line proves that sin(-x) = -sin x, hence the sine function is odd.

What does an odd graph look like?

The graph of an odd function is symmetric about the x-axis. So, if you need to jog your memory as to which symmetry the word “even” or “odd” refers, just drawn a quick sketch of the graph of either f(x)=x2 or f(x)=x3.

What does it mean if a function is odd?

DEFINITION. A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin.

How do you tell if a trig graph is even or odd?

A function is even if and only if f(-x) = f(x) and is symmetric to the y axis. It is helpful to know if a function is odd or even when you are trying to simplify an expression when the variable inside the trigonometric function is negative. f(x) = f(-x) therefore the function is even.

Why is sine odd and cosine even?

The sine function is an odd function. Since y corresponds to sin(x) then this means that sin(-x) = – sin(x). The cosine is an even function which means that if (x,y) is on the graph of the function so too is the point (-x,y).

How do you use odd/even identities?

So, for example, if f(x) is some function that is even, then f(2) has the same answer as f(-2). f(5) has the same answer as f(-5), and so on. If a function were negative, then f(-2) = -f(2), f(-5) = -f(5), and so on.

What is an even odd identity?

So, for example, if f(x) is some function that is even, then f(2) has the same answer as f(-2). f(5) has the same answer as f(-5), and so on. In contrast, an odd function is a function where the negative of the function’s answer is the same as the function acting on the negative argument.