1+tan^2 = sec^2. PROVE IT ?

1.	1+tan^2 = sec^2. PROVE IT ?
Answer» Answer: we KNOW that cos²A + sin²A = 1 (check the attached image for the PROOF of this FORMULA \| © to the rightful owner) divide both sides by cos²A. => cos²A/cos²A + sin²A/cos²A = 1/cos²A (note : sinA/cosA = tanA \|\|\| 1/cosA = SECA) => 1 + tan²A = sec²A hence, proved __________________

Answer»

Answer:

we KNOW that cos²A + sin²A = 1

(check the attached image for the PROOF of this FORMULA | © to the rightful owner)

divide both sides by cos²A.

=> cos²A/cos²A + sin²A/cos²A = 1/cos²A

(note : sinA/cosA = tanA ||| 1/cosA = SECA)

=> 1 + tan²A = sec²A

hence, proved

__________________

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1+tan^2 = sec^2. PROVE IT ?

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