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Starting with the Identity sin⁡2x+cos⁡2x=1\sin ^ { 2 } x + \cos ^ { 2 } x = 1

Question 21

Essay

Starting with the identity sin⁡2x+cos⁡2x=1\sin ^ { 2 } x + \cos ^ { 2 } x = 1 and then dividing both sides of the equation by a suitable trigonometric function, derive the trigonometric identity.
​ sec⁡2x=1+tan⁡2x\sec ^ { 2 } x = 1 + \tan ^ { 2 } x

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