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°
Step-by-step explanation:
the first one is 2 that appears most while the second is 20 and 3
Answer:
3
Step-by-step explanation:
Answer:
f(x)=x-2
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}
Range: (−∞,∞),{y|y∈R}
g(x)=x^2-3x+2
Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}
Range: [−1/4,∞),{y∣y≥−1/4}
