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
Cost=150+ 80d....d=number of days
470=150+80d
470-150=80d
320=80d divide by 80
4=d
she rented the car for 4 days<span />
Answer: false
Step-by-step explantion : If the statement is true, the number is a solution to the equation or inequality. Is 3 a solution to this equation? FALSE! Since 29 is not equal to 24, 3 is not a solution to the equation.
hope this helps :3
Answers: #2, 3, 5, 6 are correct
... believe me, I juss did them.
Answer:
I think the last one doesn't fit in
