Answer:
The answer are the options B and C


Step-by-step explanation:
we know that

In this problem we have

substitute

solve for sin(x)


substitute the value of sin(x) and solve for cos(x)






The function tangent is equal to

substitute the values

Answer:
1-i and -1+i
Step-by-step explanation:
We are to find the square roots of
. First, convert from Cartesian to polar form:



Next, use the formula
where
to find the square roots:
<u>When k=1</u>
<u />![\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5B2%5D%7B2%7D%5Cbiggr%5Bcis%5Cbiggr%28%5Cfrac%7B%5Cfrac%7B3%5Cpi%7D%7B2%7D%2B2%5Cpi%281%29%7D%7B2%7D%5Cbiggr%29%5Cbiggr%5D)
![\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B2%7D%5Cbiggr%5Bcis%5Cbiggr%28%5Cfrac%7B3%5Cpi%7D%7B4%7D%2B%5Cpi%5Cbiggr%29%5Cbiggr%5D)


<u>When k=0</u>
<u />![\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%5B2%5D%7B2%7D%5Cbiggr%5Bcis%5Cbiggr%28%5Cfrac%7B%5Cfrac%7B3%5Cpi%7D%7B2%7D%2B2%5Cpi%280%29%7D%7B2%7D%5Cbiggr%29%5Cbiggr%5D)


Thus, the square roots of -2i are 1-i and -1+i
4 times 13 is equal to 52
With all trig functions, the period can be calculated with the equation PB = 2π.
P = period
B = anything in the tangent part of the equation except the x. (in this case, it would be 6)
When we plug in 6 for B, we get 6P = 2π.
Divide both sides by 6 and you get P = 2π / 6
OR
P = π/3