To find the answer to this problem, you can use the unit circle to see that pi over 6 radians is equal to 30°
Another way is to use the equation: degrees = radians • (180 over pi)
In this example, plugging in the radians portion of the equation gives us: degrees = (pi over 6) • (180 over pi), which will become degrees = (180pi over 6pi)
Simplify and pi cancels out to give us degrees = 30
Answer: 30°
Answer:
4, 20, 2
Step-by-step explanation:
The relationship between x and y is multiplication by 4:
9*4 = 36
4*4 = 16
5*4 = 20
2*4 = 8
<span>3pi is an irrational number; the other options are not.</span>
23-13=10
Prime numbers : A whole number greater than 1 that can not be made by multiplying other whole numbers Prime numbers between 1 to 100 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 So, The two numbers whose difference is 10 are 13 and 23 23-13=10
Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
