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Step-by-step explanation:
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Answered by
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Answer:
see explanation
Step-by-step explanation:
let ∅ be x
GIVEN-
(sinx - 2sin³x) / (2cos³x - cosx) = tan x
LHS-
(sinx - 2sin³x) / (2cos³x - cosx)
⇒sinx(1-2sin²x) / cosx[2(cos²x) -1]
⇒sinx(1-2sin²x) / cosx[2(1-sin²x)-1] (as cos²x = 1- sin²x)
⇒ sinx(1-2sin²x) / cosx [2 - 2 sin²x -1]
⇒ sinx(1-2sin²x) / cosx (1-2sin²x)
⇒sinx / cosx (as (1-2sin²x) cancel each other)
⇒tanx
Thus LHS = RHS
Hope this helps.....
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