Please help me i need full answer.

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( )sin ( )

sin x - sin y = 2cos ( )sin ( )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin()sin( ) ]² + [ 2cos( )sin( ) ]²

= 4sin² ( )sin² ( ) + 4cos² ( )sin² ( )

= 4sin² ( )[ sin² ( ) + cos² ( ) ← sin²x + cos²x = 1

= 4sin² ( ) × 1

= 4sin² ( ) = right side ⇒ proven

answer: idk

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b