I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
Answer:
a
Step-by-step explanation:
Answer:
<em>A</em><em> </em><em>cube</em><em> </em><em>size</em><em> </em><em>is</em><em> </em><em>150mm</em>
Step-by-step explanation:
I think it will be
The answer is the first tile on the very left
s = sqrt(227) where "sqrt" is shorthand for "square root"
To get this answer, we basically replace A with 227 and we go from
A = s^2
to
227 = s^2
So if s^2 = 227, then s = sqrt(227) after we apply the square root to both sides. Because s is some length value, it makes no sense to have it negative. Therefore we don't consider the negative version of the square root.
5/6 because there is 6 numbers on a die and if you roll a dice there is a chance you can get 5 other numbers than 3
