in the chapter trigonometric functions, exercise 3 3, Q12, how did (2 sin 5x cos x ) (2 cos 5x - Maths - Trigonometric Functions

Question

in the chapter trigonometric functions, exercise 3 3, Q12, how
did (2 sin 5x cos x ) (2 cos 5x sinx) change to (2 sin5x cos 5x)(2
cosx sinx)??? and pls also explain how did we get the answer same
as the R H S ?

Lyra · Accepted Answer

(2sin5xcosx) (2cos5xsinx)
Rearranging the terms we get:-
=(2sinxcosx) (2sin5xcos5x)
=Sin2x sin2(5x) [since sin2A= 2sinAcosA]
=Sin2x sin10x=RHS

in the chapter trigonometric functions, exercise 3.3, Q12, how did (2 sin 5x cos x ) (2 cos 5x sinx) change to (2 sin5x cos 5x)(2 cosx sinx)??? and pls. also explain ..how did we get the answer same as the R.H.S.?