T The value of tan π/16 + 2 tan π/8+4 is equal to
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Answer:
Weknowthat,tanA=cotA−2cot2A
LHS=tan
16
π
+2tan
8
π
+4
=cot
16
π
−2cot
8
π
+2(cot
8
π
−2cot
4
π
)+4
=cot
16
π
+4−4
=cot
16
π
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