sin x-sin 3x/sin²x-cos²x = 2sinx
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Answer:
L.H.S=R.H.S
Step-by-step explanation:
LHS :
sin
2
x−cos
2
x
sinx−sin3x
=
−(cos
2
x−sin
2
x)
2sin(
2
x−3x
)cos(
2
x+3x
)
=
−cos2x
2sin(−x)cos2x
=
−cos2x
−2sinxcos2x
=2sinx
= RHS
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