Video Transcript
Simplify cos 𝜃 multiplied by csc 𝜃 multiplied by sin 𝜃.
In order to simplify this expression, we will begin by recalling the reciprocal trigonometric identities. We know that csc 𝜃 is equal to one over sin 𝜃. This means that we can rewrite the expression as cos 𝜃 multiplied by one over sin 𝜃 multiplied by sin 𝜃. Since multiplication is associative, we can multiply these in any order. One over sin 𝜃 multiplied by sin 𝜃 is simply equal to one. And multiplying this by cos 𝜃 gives us cos 𝜃. The expression cos 𝜃 multiplied by csc 𝜃 multiplied by sin 𝜃 in its simplest form is cos 𝜃.
