How do i solve this problem???

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1 Answer
Lucy
Jul 22, 2018

#A=pi/10#
#B=pi/5#
#C=(3pi)/10#
#D=(2pi)/5#
#E=5#

Explanation:

The points A,B,C and D are when the graph #y=5sin(10x)# is equal to #0# ie #5sin(10x)=0#

Solving for x:
#5sin(10x)=0#
#sin(10x)=0#
#10x=0,pi, 2pi, 3pi, 4pi, ...#
#x=0, pi/10, (2pi)/10, (3pi)/10, (4pi)/10,....#
#x=0,pi/10, pi/5, (3pi)/10, (2pi)/5,...#

Therefore,
#A=pi/10#
#B=pi/5#
#C=(3pi)/10#
#D=(2pi)/5#

The point E is the amplitude of the graph #y=5sin(10x)# which in this case is #5#

Therefore, #E=5#

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