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
The explicit rule for the geometric sequence is in the form,
an = (a1)^(r -1)
where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the known terms from the given above, we arrive to the explicit form of the sequence which is,
an = 49^(3 - 1)
Answer:
Yellow so (B)
Step-by-step explanation:
The rate of change is equal to the slope of a line. Given any 2 points on a line and you can calculate the slope (rate of change) of that line. The formula for rate of change is given by Δy/Δx which equals (y2-y1)/(x2-x1). Therefore, using the points given in the question and simply input them into our formula, we get ((4)-(3))/((-2)-(0)) = -1/2
Answer:
= 72a + 20s
Step-by-step explanation:
Given that;
a = number of adult tickets sold
s = number of student tickets sold.
According to given condition:
For first night;
=2(9a) + 5s
=18a + 5s
For second night:
= 3*18a + 3*5s
= 54a + 15s
Expression for total money of both nights:
= (18a + 5s ) + (54a + 15s )
Adding same terms:
= 72a + 20s
i hope it will help you!
