Answer:
Step-by-step explanation:
Find all solutions to the equation.
7 sin^2(x) - 14 sin x + 2 = -5
7sin^2(x)-14 sin x+7 =0
sin^2(x)-2sin x+1 =0
(sinx-1)(sinx-1)=0
sinx=1
x=π/2+2pi*k, k=integer
Answer:
Step-by-step explanation:
cos (x/2)=cos x+1
cos (x/2)=2cos ²(x/2)
2 cos²(x/2)-cos (x/2)=0
cos (x/2)[2 cos (x/2)-1]=0
cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)
x/2=2nπ+π/2,2nπ+3π/2
x=4nπ+π,4nπ+3π
n=0,1,2,...
x=π,3π
or x=180°,540°,...
180°∈[0,360]
so x=180°
or
2cos(x/2)-1=0
cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)
x/2=360n+60,360n+300
x=720n+120,720n+300
n=0,1,2,...
x=120,300,840,1020,...
only 120° and 300° ∈[0,360°]
Hence x=120°,180°,300°
Answer:
15.
Step-by-step explanation:
15 is composite because 3 * 5 = 15.
The others are prime.
Let 
be the line that passes through both points.
We know that 
and 
. So:
Solving the system, we get that a= -1 and b = 6.
So the line is equal to 
.
First you need to divide 7 and 15, and the answer you get is 8, so 8+7=15. 8 will be your answer.
