Question

look at image, thus is a homework problem i need help with, thank you!

Answer 1

The given expression is:

$\sin (-t)-\sin t$

Recall the definition of an odd function:

$f(-x)=-f(x)$

Since the sine function is an odd function, it follows that:

$\sin (-t)=-\sin t$

Substitute this into the given expression:

$\sin (-t)-\sin t=-\sin t-\sin t$

Simplify the expression:

$-2\sin t$

Substitute sin t =a into the expression:

$\begin{gathered} -2(a) \\ =-2a \end{gathered}$

Hence, the expression in terms of a is -2a.

The answer is -2a.