Question

Figure 4 shows part of the curve with equation

Answer 1

The values of a and b are 2 and π/5, respectively

How to determine the values of a and b?

The graph of the complete question is added as an attachment

The equation of the graph is given as:

y = sin(ax - b)

From the graph, we have the following points:

(π/10, 0), (3π/5, 0) and (11π/10, 0)

Substitute the above points in y = sin(ax - b)

sin(a(π/10) - b) = 0 and sin(a(3π/5) - b) = 0

Take the arc sin of both sides

a(π/10) - b = 0

a(3π/5) - b = π

Subtract the equations to eliminate b

a(π/10) - a(3π/5) = -π

Divide through by π

a(1/10) - a(3/5) = -1

Express fractions as decimals

0.1a - 0.6a = -1

Evaluate the difference

-0.5a = -1

Divide by -0.5

a = 2

Substitute a = 2 in a(3π/5) - b = π

2 * (3π/5) - b = π

Evaluate the product

6π/5 - b = π

This gives

b = 6π/5 - π

Evaluate the difference

b = π/5

Hence, the values of a and b are 2 and π/5, respectively

Read more about sine functions at:

brainly.com/question/9565966

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