Question

Evaluate and simplify the indicated quantities in Exercises 35–41.
$(\sin t,\cos t).(\cos t,-\sin t)$

Short answer

The simplification of $(\sin t,\cos t).(\cos t,-\sin t)$is $0$.

Step-by-step solution

Step 1. Given Information.

The quantities:

$(\sin t,\cos t).(\cos t,-\sin t)$

Step 2. Do the dot product.

By Dot product,

$$\begin{gathered} (\sin t,\cos t).(\cos t,-\sin t)=\sin t.\cos t+(-\sin t.\cos t) \\ =0 \end{gathered}$$