We know that
if cos x is positive
and
sin x is negative
so
the angle x belong to the IV quadrant
cos x=5/13
we know that
sin²x+cos²x=1-------> sin²x=1-cos²x------> 1-(5/13)²---> 144/169
sin x=√(144/169)-------> sin x=12/13
but remember that x is on the IV quadrant
so
sin x=-12/13
Part A) <span>cos (x/2)
cos (x/2)=(+/-)</span>√[(1+cos x)/2]
cos (x/2)=(+/-)√[(1+5/13)/2]
cos (x/2)=(+/-)√[(18/13)/2]
cos (x/2)=(+/-)√[36/13]
cos (x/2)=(+/-)6/√13-------> cos (x/2)=(+/-)6√13/13
the angle (x/2) belong to the II quadrant
so
cos (x/2)=-6√√13/13
the answer Part A) is
cos (x/2)=-6√√13/13
Part B) sin (2x)
sin (2x)=2*sin x* cos x------> 2*[-12/13]*[5/13]----> -120/169
the answer Part B) is
sin(2x)=-120/169
Answer:
$16.80 per hour.
Step-by-step explanation:
So you got 420 dollars earned last week. Jerry worked for 25 hours and if you divide.
You’d find the unit rate which is 420/25 and get 16.8.
$16.80 per hour.
Answer:
H0:μ=10.6
Ha:μ≠10.6
Step-by-step explanation:
you do not find out about the 12.9 until after stating the hypothesis.
Answer:
3.2 km * 1 / 1.609 mi / km * 5280 ft / mi = 10,501 ft
Check: 3280.84 ft / km * 3.2 km = 10,499 ft
Answer:
Step-by-step explanation:
First we turn them into improper fractions
then we multiply it
