Answer: B. [tex]0 < a_2 < a_1[/tex]
Explanation:
The coefficients tacked onto the trig functions tell us how vertically stretched the curves are. The dashed curve, representing [tex]y_1(t)[/tex], is taller than the solid curve. Therefore [tex]a_1[/tex] must be larger than [tex]a_2[/tex]
For the sine curve, note how it is increasing after we pass through t = 0. This indicates we have [tex]a_1[/tex] as a positive number. The value of [tex]a_2[/tex] is positive because the point (0,k) on the cosine curve has k being positive.
