The correct answers are:1) sin(x) =
2) tan(x) =
Explanation:Given:
![cos(x) = \frac{1}{2}](https://tex.z-dn.net/?f=cos%28x%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Step 1:
Since, according to the Trigonometric identity:
![sin^2(x) + cos^2(x) = 1](https://tex.z-dn.net/?f=sin%5E2%28x%29%20%2B%20cos%5E2%28x%29%20%3D%201)
-- (1)
Step 2:
Plug in the value of cos(x) in equation (1):
![sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}](https://tex.z-dn.net/?f=sin%5E2%28x%29%20%2B%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%29%5E2%20%3D%201%20%5C%5C%20sin%5E2%28x%29%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%201%20%5C%5C%20sin%5E2%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20)
Step 3:
Take square-root on both sides:
![\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}](https://tex.z-dn.net/?f=%20%5Csqrt%7Bsin%5E2%28x%29%7D%20%3D%20%20%5Csqrt%7B%5Cfrac%7B3%7D%7B4%7D%7D)
sin(x) =
![\frac{ \sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20)
Now to find the tan(x), we would use the following formula:
tan(x) =
![\frac{sin(x)}{cos(x)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%20)
--- (2)
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =
![\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B2%7D%20%7D%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20)
Hence tan(x) =
Answer:
30
Step-by-step explanation:
Here, it is given that the Z – score corresponding to the score X = 45 is 1.5 and the Z – score corresponding to the score X = 40 is...
Z =
So:
1/ 1.5 =
and 1 =
. solve the both equations, we found out:
<=> S = 10
=> M = 30
Hence, mean is:
M = 45 -1.5S = 45 - 1.5 (10) = 30
183.6 should be your answer. 6 x 6 = 36. 36 x 5.1 is 183.6 sooooo sorry if I am wrong.
I might be wrong but,
2. 3
– ÷ –
5. 8
Use KFC (Keep change flip)
2. 8. 16. 1
– X – = –. = 1 –
5. 3. 15. 15
Hope it hepped
Answer:
All are positive, and point upwards. The angle that they increase along the horizontal axis is different.
Step-by-step explanation:
There are no negative signs that the x is multiplied in any of the equations, and the number they are multiplied by is different for each graph: one is 1, another is 2, and the last is 3.