Answer:
Step-by-step explanation:
Hello, we know that the z complex solutions of
are
1, i, -1, -i
so, the solutions of 
are
2, 2i, -2, -2i
Thank you
Answer:
20/41 (it can't be reduced or simplified)
Step-by-step explanation:
41 is a prime number hence cannot be divided by anything.
Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)
Answer:
dependent
Step-by-step explanation:
there is no replacement
Given
Evaluate P(5), as shown below
Therefore, the answer is 1050ft.
Answer:
- sin(4a) = -24/25
- cos(4a) = 7/25
Step-by-step explanation:
Your calculator can tell you these values:
sin(4a) = sin(4·arctan(3)) = -0.96 = -24/25
cos(4a) = cos(4·arctan(3)) = 0.28 = 7/25
_____
Some useful trig identities are ...
sin(2a) = 2tan(a)/(1 +tan(a)^2)
cos(2a) = (1 -tan(a)^2)/(1 +tan(a)^2)
Filling in the given value for tan(a), we find ...
sin(2a) = 2(3)/(1+3^2) = 6/10 = 3/5
cos(2a) = (1 -3^2)/(1 +3^2) = -8/10 = -4/5
Now, double-angle formulas are useful:
sin(4a) = 2sin(2a)cos(2a) = 2(3/5)(-4/5) = -24/25
cos(4a) = 1 -2sin(2a)^2 = 1 -2(3/5)^2 = 7/25
The desired trig function values are sin(4a) = -24/25; cos(4a) = 7/25.
