Question

What is the graph of one cycle of a sine curve with amplitude 5, period pi, and a>0?

What is an equation for the sine curve in the form y=asinb0?

a. y=2sin50
b. y=5sinpi0
c. y=5sin20
d. y=5sin1/2 0

Answer 1

c is correct

Explanation:

if u have the equation y = a sin b (x),

a is the amplitue (regardless of + or - before it) and 2pi / b = period. so we can deduce that a = +5 or -5 and b = 2, but then it says a>0, so therefore a must be 5 and b is still 2, so the equation is y= 5 sin2(O)