Trigonometric Difference of Two Squares

Geometry Level 2

True or False:

sin⁡(x+y)×sin⁡(x−y)=sin⁡2x−sin⁡2y \sin (x +y ) \times \sin (x - y ) = \sin ^2 x - \sin ^2 y

Inspiration behind the problem: It is well known that (x+y)(x−y)=x2−y2 (x+y) ( x-y) = x^2 - y^2 . Does this still work if we apply a trigonometric function, or is that a common misconception?

Calvin Lin by Calvin Lin
×

Problem Loading...

Note Loading...

Set Loading...