I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
Answer:
I have solved the question in the picture in two different ways : simplification and factorisation I hope you find it useful bye:)
Answer:
x^2+2
Step-by-step explanation:
since (x^2+2x+1) is negative from the subtraction symbol in front, the entire thing turns negative. The equation turns into 2x^2+2x+3-x^2-2x-1=...
if you solve this equation you will get x^2+2 by adding the like terms together
I believe your answer is B
The <em>correct answer</em> is:
We can use the associative property to write 70 as 7*10. We can do this same process to write 6000 as 6*1000. This gives us:
(7*10)*(6*1000)
Using the commutative property, we can rearrange the factors of this problem
(7*6)*(10*1000)
7*6 is in our multiplication tables, and we know that powers of 10 allow us to just add the correct number of zeros. This means we would have 7*6=42, and have 4 zeros, for 420000.