Question

simplify= sinA(sinA -cosA cosA sinA) +cosA(cosA sinA -sinA cosA)​

Answer 1

Step-by-step explanation:

sin²A - cos²A sin²A - cosAsin(A-A)

sin²A(1-cos²A) +0

sin²A sin²A

sin⁴A

Answer 2

Answer:

cosA

Step-by-step explanation:

sinA(sinA cosA + cosA sinA) +cosA(cosA sinA -sinA cosA)​

= sinA . sin(A+A)  + cosA. cos(A+A)

= sinA.sin2A + cosA.cos2A

= cos(A-2A)

= cos(-A)

= cosA

(identities used,

1. sinA.cosB - cosA.sinB = sin(A-B)

2. cosA.cosB - sinA.sinB = cos(A+B)

3. sinA.sinB + cosA.cosB = cos(A-B)

2. cos(-A) = cosA )

Note: Please check your question again for the change of sign. or any other correction