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Prove the Identity tan⁡5x=tan⁡x(sec⁡4x−2sec⁡2x+1)\tan ^ { 5 } x = \tan x \left( \sec ^ { 4 } x - 2 \sec ^ { 2 } x + 1 \right)

Question 111

Essay

Prove the identity.
- tan⁡5x=tan⁡x(sec⁡4x−2sec⁡2x+1)\tan ^ { 5 } x = \tan x \left( \sec ^ { 4 } x - 2 \sec ^ { 2 } x + 1 \right)

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