4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Answer:
x = 7
Step-by-step explanation:
y = (x – 7)^2 – 3
This equation is in vertex form
y = a(x-h)^2 +k
where (h,k) is the vertex
For a vertical parabola, the line of symmetry is x=h
x = 7
Answer: 1/6
Step-by-step explanation:
Slope is the m in y=mx+b
A. It is 176^2 or 30976 or 3.0976 x 10^4 whatever your prefer
B. 972
C. It is 0.00548697 or 4/729 or (2/27)^2 whatever your prefer
D. It is -16 x 20^4 or -2560000 whatever your prefer
E. x^4 y^4
F. h^10 k^6
G. m^11 n^15
H. b^2 d^6
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