Answer:
0, π, 7π/6, 11π/6 on the interval 0 ≤ ø <2π.
Step-by-step explanation:
sinø + 1 = cos2ø
Use the identity cos 2o = 1 - 2 sin^2 o:
sin o + 1 = 1 - 2 sin^2 o
2sin^2 o + sin o + 1 - 1 = 0
2 sin^2 o + sin o = 0
sin o (2 sin 0 + 1) = 0
Therefore sin o = 0 or sin o = -1/2.
For sin o = 0 , o = 0, π radians.
For sin o = - 1/2, o = 7π/6, 11π/6 radians.
The answer is 7/90 good luck
Answer:
8/3
Step-by-step explanation:
The reciprocal is just the fraction but flipped
3/2 ÷ 1/4 is 3/2 x 4/1 (the reciprocal)
Since 3/2 is the same as 1 1/2 we are asking how much are 4 x 1 1/2
Think money
1 1/2 is like $1.50
If I had $1.50 two times - I'd have $3.00
If I had $1.50 four times - I'd have twice as much or $6.00
Now I know that 6 is between 5 and 7 so answer c. is correct
You could also just multiply 3/2 x 4/1 but I think my explanation helps you understand it better than just using the multiplication algorithm.