Answer:
number one is 22 number two is 16 number three is 32
Step-by-step explanation:
The value of the trigonometric ratio, Cos C is 5/13. The answer is A.
Answer:
Option 2 is right
Step-by-step explanation:
Given that
![z^5=1+\sqrt{3} i](https://tex.z-dn.net/?f=z%5E5%3D1%2B%5Csqrt%7B3%7D%20i)
We can write this in polar form with modulus and radius
![|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\](https://tex.z-dn.net/?f=%7Cz%5E5%7C%3D%20%5Csqrt%7B1%2B3%7D%20%3D2%5C%5Ctan%20of%20Angle%20t%20%3D%5Csqrt%7B3%7D%20%5C%5C)
Hence angle = 60 degrees and
![|z^5|= 2(cos60+isin60)](https://tex.z-dn.net/?f=%7Cz%5E5%7C%3D%202%28cos60%2Bisin60%29)
Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360
Using Demoivre theorem we get 5th root would be
5th root of 2 multiplied by 1/5 th of 60, 420, 780,....
![z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\](https://tex.z-dn.net/?f=z%3D%20%5Csqrt%5B5%5D%7B2%7D%20%28cos12%2Bisin12%29%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos84%2Bisin84%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos156%2Bisin156%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos228%2Bisin228%29%5C%5C%5C%5Cz%3D%5Csqrt%5B5%5D%7B2%7D%20%28cos300%2Bisin300%29%5C%5C)
Out of these only 2nd option suits our answer
Hence answer is Option 2.
Answer:
4.485 × 〖10〗^10 x 1.3268 × 〖10〗^11 =
(4.485 x1.3268) ×( 〖10〗^11× 〖10〗^10)
5.950 x 〖10〗^21
Step-by-step explanation: