We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Answer:
210cm cubed
Step-by-step explanation:
Width x length x height
3x7x10
In my opinion the concepts that belong in the branch of mathematics would be algebra, geometry, trigonometry, calculus, statistics, and probability. All of the following are known the be main branches of pure mathematics.
Answer:
2/3
Step-by-step explanation:
Divide 5/6 by 5/4
Find the Reciprocal of 5/4
5/6 times 4/5
5/3 time 2/5
10/15
2/3
