Prove that the trigonometry identities; 1+ tan²∅/1+sec∅ =sec∅�

1.	Prove that the trigonometry identities; 1+ tan²∅/1+sec∅ =sec∅
Answer» -step EXPLANATION:Starting from: cos 2 ( x ) + SIN 2 ( x ) = 1 DIVIDE both SIDES by cos 2 ( x ) to get: cos 2 ( x ) cos 2 ( x ) + sin 2 ( x ) cos 2 ( x ) = 1 cos 2 ( x ) which simplifies to: 1 + tan 2 ( x ) = sec 2 ( x )

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Prove that the trigonometry identities; 1+ tan²∅/1+sec∅ =sec∅​

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Prove that the trigonometry identities; 1+ tan²∅/1+sec∅ =sec∅