Find all solutions to the equation sin(3x)cosx-sinx cos(3x)=0 on the interval [0,2pi]

a- x=0,pi/4,pi/2,3pi/4,pi,3pi/2,2pi
b- x=0,pi/2,pi,3pi/2,2pi
c- x=0,pi,2pi
d- x=0,pi/2,3pi/2

Cos(x)Cos(3x) + sin(x)sin(3x)=0 [0,2pi]

x= pi/4, 3pi/4, 5pi/4, 7pi/4

explanation:For those who have a different answer choice along with the question.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

step-by-step explanation:

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