Question

sin3theta+sin5theta=sin8theta

Answer 1

Hey !!!^_^

Here is your answer

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${sin}^{3} \alpha + {sin}^{5} \alpha \\ \\ as \: we \: know \: \\ {a}^{2} + {a}^{5} = {a}^{2 + 5} \\ \\ {sin}^{3} \alpha + {sin}^{5} \alpha \\ \\ {sin}^({3 + 5}) \alpha \\ \\ {sin}^{8} \alpha$
Proved ✔✔

I HOPE IT WILL HELP YOU

Thank you

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Answer 2

LHS thitha =x

We have sin3x+sin5x

= 3sinx-4sin^3x + (sin2x+sin3x)

= 3sinx-4sin^3x +(2sinx cosx + 3sinx-4sin^3x)

=3sinx-4sin^3x +5sinx cosx + 4sin^3x

=sin8x