differentiate
cot (x^2
sin 2x).
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cotx−2sin2x=1
cosx−4sin
2
xcosx=1
cosx−4(1−cos
2
)cosx=1
Let cosx=z.
z−4(z−z
3
)=1
4z
3
+3z+1=0
(x+1)(2x−1)
2
=0
So, cosx=−1 and cosx=
2
1
.
∴ x=(2n+1)π. x=2nπ±
3
π
.
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