Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.

With that being said:

sin^2 30 - cos^2 30

= (1/2)^2 - ((sqrt3)/2)^2

= 1/4 - 3/4

= -1/2

7 0

3 years ago

Read 2 more answers

Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?

vitfil [10]

Answer:

Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

$f(x)=9-4x^2$

If $f(-x)=f(x)$ , then $f(x)$ is an even function.

If $f(-x)=-f(x)$ , then $f(x)$ is an odd function.

Now, substitute x=-x in the given function.

$f(-x)=9-4(-x)^2$

$f(-x)=9-4(x)^2$

$f(-x)=f(x)$

So, the given function not an odd function. It means it is an even function.

To check whether the given function is odd, we have to determine whether $9-4(-x)^2$ is equivalent to $-(9-4(x)^2)$ .

Therefore, the correct option is C.

6 0

3 years ago

Write the following equation in standard form: x^5 + 2x^3 +6x + 1/5

Stella [2.4K]

Or use photomath, it is also useful!

3 0

3 years ago

The mapping diagram shows a function S(x).<br><br> Which mapping diagram shows the inverse of S(x)?

Nutka1998 [239]

<h3>Answer: Choice A</h3>

Explanation:

Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.

3 0

3 years ago