How do i solve this problem???

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How do i solve this problem???

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Answer 1 · 2018-07-22T03:13:39

$A = \frac{π}{10}$ $A=pi/10$
$B = \frac{π}{5}$ $B=pi/5$
$C = \frac{3 π}{10}$ $C=(3pi)/10$
$D = \frac{2 π}{5}$ $D=(2pi)/5$
$E = 5$ $E=5$

Explanation:

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

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

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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