Answer:
Step-by-step explanation:
Given
Required
Use the expression to prove a trigonometry identity
The given expression is not complete until it is written as:
Going by the Pythagoras theorem, we can assume the following.
- a = Opposite
- b = Adjacent
- r = Hypothenuse
So, we have:
Having said that:
The expression can be further simplified as:
Substitute values for sin and cos
becomes
Answer:
x + y + z = 180 (this is the first equation)
w + z = 180 (this is the second equation)
Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:
x + y + (180 - w) = 180
x + y - w = 0
x + y = w
Step-by-step explanation:
Answer:
2291,94 mph
Step-by-step explanation:
To solve this we need to consider the distance 2.39x10^5 miles as the distance between the center of the earth and the center of the moon, if not we would need to know the radius of the earth and the moon.
If the distance is 2.39x10^5 miles, the orbit is = 2.Pi.(2.39x10^5) miles=1501681.288miles
It takes 27.3 days, that are, 27.3*24= 655.2hours
1501681.288miles/655.2hours= 2291.94 mph
To find the answer you need to identify what x is.
To find the x first you need to make the equation 6x+11=29.
You then subtract 11 from each side which cancels out the 11 and makes the 29 18.
You then divide the entire equation by 6 to get the answer x=3.
You then input x for the CN line equation.
4(3)+1
Thus, your answer should be 13 (D)
Answer:
Step-by-step explanation:
(cos A+ cos B)-cos C
![=2cos \frac{A+B}{2}cos \frac{A-B}{2}-cos C~~~...(1)\\A+B+C=180\\A+B=180-C\\\frac{A+B}{2}=90-\frac{C}{2}\\cos \frac{A+B}{2}=cos(90-\frac{C}{2})=sin \frac{C}{2}\\cos C=1-2sin^2\frac{C}{2}\\(1)=2 sin \frac{C}{2} cos \frac{A-B}{2}-1+2sin^2\frac{C}2}\\=2sin\frac{C}{2}[cos \frac{A-B}{2}+sin \frac{C}{2}]-1~~~...(2)\\\\now~again~A+B+C=180\\C=180-(A+B)\\sin\frac{C}{2}=sin(90-\frac{A+B}{2})=cos \frac{A+B}{2}\\(2)=2sin\frac {C}{2}[cos \frac{A-B}{2}+cos \frac{A+B}{2}]-1\\](https://tex.z-dn.net/?f=%3D2cos%20%5Cfrac%7BA%2BB%7D%7B2%7Dcos%20%5Cfrac%7BA-B%7D%7B2%7D-cos%20C~~~...%281%29%5C%5CA%2BB%2BC%3D180%5C%5CA%2BB%3D180-C%5C%5C%5Cfrac%7BA%2BB%7D%7B2%7D%3D90-%5Cfrac%7BC%7D%7B2%7D%5C%5Ccos%20%5Cfrac%7BA%2BB%7D%7B2%7D%3Dcos%2890-%5Cfrac%7BC%7D%7B2%7D%29%3Dsin%20%5Cfrac%7BC%7D%7B2%7D%5C%5Ccos%20C%3D1-2sin%5E2%5Cfrac%7BC%7D%7B2%7D%5C%5C%281%29%3D2%20sin%20%5Cfrac%7BC%7D%7B2%7D%20cos%20%5Cfrac%7BA-B%7D%7B2%7D-1%2B2sin%5E2%5Cfrac%7BC%7D2%7D%5C%5C%3D2sin%5Cfrac%7BC%7D%7B2%7D%5Bcos%20%5Cfrac%7BA-B%7D%7B2%7D%2Bsin%20%5Cfrac%7BC%7D%7B2%7D%5D-1~~~...%282%29%5C%5C%5C%5Cnow~again~A%2BB%2BC%3D180%5C%5CC%3D180-%28A%2BB%29%5C%5Csin%5Cfrac%7BC%7D%7B2%7D%3Dsin%2890-%5Cfrac%7BA%2BB%7D%7B2%7D%29%3Dcos%20%5Cfrac%7BA%2BB%7D%7B2%7D%5C%5C%282%29%3D2sin%5Cfrac%20%7BC%7D%7B2%7D%5Bcos%20%5Cfrac%7BA-B%7D%7B2%7D%2Bcos%20%5Cfrac%7BA%2BB%7D%7B2%7D%5D-1%5C%5C)
