Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
(2,-7)
Step-by-step explanation:
Plug in the numbers to test and see if it gives you -17 and -8.
Option 1. 2(-4)+3(2)
= -8+6 = -2. Not it.
Option 2. 2(2)+3(-7)
4 - 21 = -17 Works. Try the second equation to make sure.
3(2)+2(-7)
6-14 = -8. Works.
(2,-7) is the answer.
15p^2-11p-14 is the product
It's actually less than two feet!
I’m pretty sure it is (7, 2)