Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x Option A: x = pi divided by three., two pi divided by three.

Option B: x = pi divided by two, three pi divided by two., pi divided by three., two pi divided by three.

Option C: x = 0, π, pi divided by six, five pi divided by six

Option D: x = pi divided by six, five pi divided by six

(Will mark brainliest)

D

Step-by-step explanation:

2 sin²x=sin x

2 sin² x-sin x=0

sin x(2 sin x-1)=0

sin x=0

x=0,π

2 sin x-1=0

2 sin x=1

sin x=1/2= sin π/6,sin (π-π/6)

x=π/6,5π/6

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98