I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
Answer:
5mls
Step-by-step explanation:
Since the doctors recommend the woman to give her 12 pound mixed breed dog Benadryl 12.5 mg orally, and she has Benadryl liquid that is exactly 12.5 mg per teaspoon, all she has to do is to give her dog one teaspoon only.
Since one US teaspoon equals to 5 metric millimeters.
The woman would need to give her pet 5mls then.
Answer:
270
Step-by-step explanation:
108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.
A is the answer if I calculated right ;)
Answer:
the answer to the other number is 407
Step-by-step explanation: