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Serhud [2]
3 years ago
7

The point P on the circle x2 + y2 = r2 that is also on the terminal side of an angle θ in standard position is given. Find the i

ndicated trigonometric function.
(3, 4) Find sin θ.

the answer options are attached, if you could show the work or formula that would be great Thanks!

Mathematics
1 answer:
Brut [27]3 years ago
6 0
Okay so you do not really need the circle equation. if you make a triangle with it's x length as 3 and it's y length as 4, you will be able to find the third length. Do Pythagorean theorem to find the hypotenuse. 
the hypotenuse will be five after you calculate it.

sin is opposite over hypotenuse or Y over R

so... the sin is 4/5

make sure you know what  quadrant your triangle is in for the negatives
 
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45

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Y=x-5; domain = {4,6,8}
Lostsunrise [7]

Answer:

Range = {-1, 1, 3}

Step-by-step explanation:

<u><em>The question asks for the range.</em></u>

The function given is

y=x-5

The domain is the set of 3 numbers:

Domain = {4,6,8}

We need to find the range.

First, the range is the set of all y-values for which the function is defined.

When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.

So, we evaluate the function (y-values) at x = 4,6, and 8.

At x = 4:

y=x-5\\y=4-5\\y=-1

At x = 6:

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7 0
3 years ago
The top of a mountain is 2,450 feet above sea level a shipwreck was discover 310 feet below sea level what is the distance betwe
arlik [135]

Answer:

d=2,760\ ft

Step-by-step explanation:

Let

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y ----> the deep of a shipwreck below the sea level

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In this problem we have

x=2,450\ ft ---> is positive because is above sea level

y=-310\ ft ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

d=\left|x-y\right|

substitute the values

d=\left|2,450-(-310)\right|

d=\left|2,450+310\right|

d=\left|2,760\right|

d=2,760\ ft

5 0
3 years ago
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