The reciprocal of 1/5 is 5.
Reciprocals are numbers than when multiplied equal a product of 1. In this question, 1/5 * 5 = 1. An easy trick for finding reciprocals is flipping a fraction.
Hope this helps!!
Answer:A) no solutions
Step-by-step explanation:
1) set both problems equal to each other
2) subtract four from each side
3) subtract 2x from each side
4) 10 does not equal 0
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
