proof that cot π/8 - tan π/8 =2
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Answer:
(1/tan22.5) - tan 22.5 (π/8=22.5)
=(1-tan22.5^2)/tan22.5
=2×(1-tan22.5^2)/(2×tan22.5)
=2×(1-tan22.5^2)/(tan22.5 + tan22.5)
=2/tan2×22.5
=2/tan45
=2 = RHS
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