-6 is the answer to the problem.
The answer is the letter A
Answer:
both add up to 90 degrees, which is a complementary angle, separately, each is 45 degrees
Step-by-step explanation:
It is given that
![\csc (\theta)=\frac{\sqrt[]{170}}{10}](https://tex.z-dn.net/?f=%5Ccsc%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B170%7D%7D%7B10%7D)
We know that

![\text{Substitute }\csc (\theta)=\frac{\sqrt[]{170}}{10},\text{ we get}](https://tex.z-dn.net/?f=%5Ctext%7BSubstitute%20%7D%5Ccsc%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B170%7D%7D%7B10%7D%2C%5Ctext%7B%20we%20get%7D)
![\sin (\theta)=\frac{1}{\frac{\sqrt[]{170}}{10}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B%5Csqrt%5B%5D%7B170%7D%7D%7B10%7D%7D)
![\sin (\theta)=\frac{10}{\sqrt[]{170}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B10%7D%7B%5Csqrt%5B%5D%7B170%7D%7D)
![\sin (\theta)=\frac{\sqrt[]{10}\sqrt[]{10}}{\sqrt[]{17\times10}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B10%7D%5Csqrt%5B%5D%7B10%7D%7D%7B%5Csqrt%5B%5D%7B17%5Ctimes10%7D%7D)
![\sin (\theta)=\frac{\sqrt[]{10}}{\sqrt[]{17}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%5B%5D%7B10%7D%7D%7B%5Csqrt%5B%5D%7B17%7D%7D)
![\sin (\theta)=\sqrt[]{\frac{10}{17}}](https://tex.z-dn.net/?f=%5Csin%20%28%5Ctheta%29%3D%5Csqrt%5B%5D%7B%5Cfrac%7B10%7D%7B17%7D%7D)
Hence the required value is
Remember
∛(ab)=(∛a)(∛b)
so
∛(8x²y³z⁴)=
(∛8)(∛x²)(∛y³)(∛z⁴)=
(∛(2³))(∛x²)(y)(z∛z)=
(2)(∛x²)(y)(z∛z)=
2yz∛(x²z)