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Marina CMI [18]
3 years ago
9

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

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Step-by-step explanation:

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

Taking LCM,

<u>=</u><u>sin3xcosx- cos3xsinx</u>

sinxcosx

<u>=</u><u>sin(3x-x)</u>

sinxcosx

= <u>2sin2x</u>

2sinxcosx

=<u> </u><u>2sin2x</u><u> </u>

sin2x

=2

= RHS.

Proved.

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