Question

evaluate : sin2 (15+A) - sin2 (15-A)

Answer 1

Hay!!

Dear friend -

evaluate; sin²(15+A) - sin²(15-A)

Ⓜ️ Here is ur answer Ⓜ️

We kown that  formula

=> sin²A-sin²b = sin(A+B) sin(A-B)

Then,

we put The equations in given formula and found it

=> Sin(15+A+15-A) Sin(15+A -15+A)

=> Here we found A-A = 0 and 15-15=0

so,

=> Sin 30×Sin 2A

=> 1/2Sin2A

I hope it's help you

Answer 2

HEY!!

_______________________________

 ▶sin2(15+A)-sin2(15-A)

We kown that 

▶sin2a - sin2b  =sin(a+b) sin(a-b)

therefore, 

▶Sin ( 15 +A +15 - A ) . Sin ( 15 + A -15 +A )

▶Sin 30 . Sin 2A

ANS) 1/2Sin2A