By DeMoivre's theorem,
(3 (cos(5<em>π</em>/6) + <em>i</em> sin(5<em>π</em>/6)))⁴ = 3⁴ (cos(4×5<em>π</em>/6) + <em>i</em> sin(4×5<em>π</em>/6))
… = 81 (cos(20<em>π</em>/6) + <em>i</em> sin(20<em>π</em>/6))
… = 81 (cos(10<em>π</em>/3) + <em>i</em> sin(10<em>π</em>/3))
… = 81 (cos(-2<em>π</em>/3) + <em>i</em> sin(-2<em>π</em>/3))
… = 81 (cos(2<em>π</em>/3) - <em>i</em> sin(2<em>π</em>/3))
… = 81 (-1/2 + √3/2 <em>i </em>)
… = -81/2 + 81√3/2 <em>i</em>
Answer:
(x+8)² + (y+13)² = 169
Step-by-step explanation:
Equation of circle:
(x-h)² + (y-k)² = r²
(h,k) is the centre, r is the radius
(x-(-8))² + (y-(-13))² = 13²
(x+8)² + (y+13)² = 169
Answer:
y = 54
x = 36
Step-by-step explanation:
Using tan x or y = opp/adj
Answer:
-4 Is the answer I think hope it will help u