if tan(cot x)=cot (tan x),then
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Answer:
Step-by-step explanation:
Given, tan(cotx)=cot(tanx)=tan(
2
π
−tanx)
⇒cotx=nπ+
2
π
−tanx
⇒cotx+tanx=nπ+
2
π
⇒
sinxcosx
1
=nπ+
2
π
⇒
sin2x
1
=
2
nπ
+
4
π
⇒sin2x=
2
nπ
+
4
π
1
=
(2n+1)π
4
.
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