### Home > PC3 > Chapter 9 > Lesson 9.1.2 > Problem9-39

9-39.

Rewrite each trigonometric expression in a simpler form using trigonometric identities.

1. $2\sin(5p)\cos(5p)$

$2\sin(x)\cos(x) = \sin(2x)$

1. $\operatorname { sin } ( \frac { \pi } { 6 } ) \operatorname { cos } ( \frac { \pi } { 4 } ) - \operatorname { cos } ( \frac { \pi } { 6 } ) \operatorname { sin } ( \frac { \pi } { 4 } )$

$\sin(\text{A})\cos(\text{B}) − \cos(\text{A})\sin(\text{B}) = \sin(\text{A} − \text{B})$