Answer: second option.
Step-by-step explanation:
You need to descompose the radicand 8 and the radicand 50 into their prime factors:
Then you can rewrite the expression:
Since:
You can simplify the expression:
As the indices and the radicands are the same, you can make the addition:
The answer is equal to 300.
By "which is an identity" they just mean "which trigonometric equation is true?"
What you have to do is take one of these and sort it out to an identity you know is true, or...
*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5 cscx = 5/3
cosx = 4/5 secx = 5/4
tanx = 4/3 cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!
Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.
Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)
Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 + 3/4)².
By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
Answer:
(10,12)
Step-by-step explanation:
that is because the X axis is 10 and the 6 axis is 12
The solution to the problem expressed 2358.
<h3>
What is the meaning of significant figure?</h3>
Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.
Therefore we get,
First we have to multiply the given digits as per rule.
Now we will add both the digits, we get
As per given expression, we conclude that the number of significant figure is 4.
So, the answer will be, 2358.
Therefore, the correct option is, 2358.
To learn more about the significant figures visit:
brainly.com/question/24491627
