4 years ago

Prove this trigonometric identitysin 3x/sin x - cos 3x/cos x =2

Mathematics

1 answer:

Sveta_85 [38]4 years ago

8 0

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

=sin3xcosx- cos3xsinx

sinxcosx

=sin(3x-x)

sinxcosx

= 2sin2x

2sinxcosx

= 2sin2x

sin2x

= RHS.

Proved.

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Prove this trigonometric identitysin ​3x/sin x - cos 3x/cos x =2

Prove this trigonometric identitysin 3x/sin x - cos 3x/cos x =2