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:
1/168
Step-by-step explanation:
First, solve for the numerator.
-5/7÷30
-5/7÷30/1
(use keep, change flip)
-5/7x1/30=-5/210
-5/210=-1/42
Now use keep change flip again
-1/42÷-4/1
-1/42*-1/4=1/168
Answer:
B.
Step-by-step explanation:
it is obvious, 1/2x is the same as 2. Since your slope is positive, and the format is correct, B would be the answer.
Answer:
60 serves
Step-by-step explanation:
According to the average, Sam should be able to hit 2/5 of his serves within the service lines.
If Sam hits 150 serves, find 2/5 of 150
2/5 * 150/1 = 300/5 = 60
Sam hit 60 serves within the service line during the match.
Hope this helps :)
