Prove that sin x - 2sin3x÷2cos3x-cos x =tanx
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4
Answer:
so sin x - 2sin3x /
2cos3x - cosx = tanx
= sinx(1 - 2sin2x) /
cosx(2cos2x - 1)
=sinx[1 -2(1 -cos2x)]
/
cosx(2cos2x - 1)
=sinx[1 - 2 + 2cos2x]
/
cosx(2cos2x - 1)
=sinx[2cos2x - 1]
/
cosx(2cos2x - 1)
= sinx
cosx
= tanx = rhs
hope it's helpful for you
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