Answer:
width is 2 and length is 5
Step-by-step explanation:
Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
We need to find LCM of the denominators
It is found to be 24
We get the fractions (4+9)/24= 13/24
You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
Answer:
tan a + cot b
Step-by-step explanation:
It's already simplified.
There are alternate forms like
![sec(a)csc(b)cos(a-b)\\\\sec(a)csc(b)[sin(a)sin(b)+cos(a)cos(b)]\\\\\frac{sin (a)}{cos (a)} +\frac{cos(b)}{sin(b)}](https://tex.z-dn.net/?f=sec%28a%29csc%28b%29cos%28a-b%29%5C%5C%5C%5Csec%28a%29csc%28b%29%5Bsin%28a%29sin%28b%29%2Bcos%28a%29cos%28b%29%5D%5C%5C%5C%5C%5Cfrac%7Bsin%20%28a%29%7D%7Bcos%20%28a%29%7D%20%2B%5Cfrac%7Bcos%28b%29%7D%7Bsin%28b%29%7D)
