Pick the right answer. What expression is the same as sin(0.6x)-sin(0.4x)? A. 2cos(0.5x)sin(0.1x) B. 2cos(0.5x)cos(0.1x) C. 2sin(0.5x)sin(0.1x) D. -2sin(0.5x)sin(0.1x) E. -2cos(0.5x)sin(0.1x)

agrarismoN07

agrarismoN07

Answered question

2022-11-30

Pick the right answer.
What expression is the same as sin ( 0.6 x ) sin ( 0.4 x )?
A. 2 cos ( 0.5 x ) sin ( 0.1 x )
B. 2 cos ( 0.5 x ) cos ( 0.1 x )
C. 2 sin ( 0.5 x ) sin ( 0.1 x )
D. 2 sin ( 0.5 x ) sin ( 0.1 x )
E. 2 cos ( 0.5 x ) sin ( 0.1 x )

Answer & Explanation

Charlize Hendricks

Charlize Hendricks

Beginner2022-12-01Added 8 answers

Answer:
Option A. is the correct option.
Step-by-step explanation:
We have to get the simplified form of sin ( 0.6 x ) sin ( 0.4 x )
As we know the identity sin A sin B = 2 cos ( A + B ) 2 sin ( A B ) 2
We apply the identity in the given expression
sin ( 0.6 x ) sin ( 0.4 x ) = 2 cos ( 0.6 x + 0.4 x ) 2 sin ( 0.6 x 0.4 x ) 2 = 2 cos ( x 2 ) sin ( 0.2 x 2 ) = 2 cos ( 0.5 x ) sin ( 0.1 x )
Therefore option A is the correct option.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?