Answer:
3x + 5 = 30
Step-by-step explanation:
Tate has 2x + 5 pennies and since Tate and Mia have 30 pennies all together you would add an x to the equation of how many pennies Tate has and set it equal to 30 making the equation 3x + 5 = 30
GNJ IS NOT complementary to JNK
MNL IS complementary to KNL
MNG IS NOT complementary to GNJ
KNJ IS NOT supplenentary to MNL
GNM IS supplementary to JNK
Answer:
A
Step-by-step explanation:
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.
