Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Write the following products as a sum or difference (a)sin 2xcos3x (b) cos 5x cos 3x (c)sin4xsin2x (d)cos3xsin6x ?

1 Answer

Aug 28, 2015

Convert products into sums

Explanation:

a. $cos 3 x . sin 2 x = (\frac{1}{2}) (sin 5 x - sin 2 x)$ $cos 3x.sin 2x = (1/2)(sin 5x - sin 2x)$

b. $cos 5 x . cos 3 x = (\frac{1}{2}) (cos 8 x - cos 5 x)$ $cos 5x.cos 3x = (1/2)(cos 8x - cos 5x)$

c. $sin 4 x . sin 2 x = - (\frac{1}{2}) (cos 6 x + cos 2 x)$ $sin 4x.sin 2x = - (1/2)(cos 6x + cos 2x)$

d. $cos 3 x . sin 6 x = (\frac{1}{2}) (sin 9 x + sin 2 x)$ $cos 3x.sin 6x = (1/2)(sin 9x + sin 2x)$

Related questions

Impact of this question

3044 views around the world

You can reuse this answer
Creative Commons License