sec A + cos A × sec A - cos A =tan²Asin²A
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Step-by-step explanation:
2
(sec a + cos a)(sec a - cos a)
= sec²a - cos²a
= 1/cos²a - cos²a
= 1-cos^4 a / cos²a
= 1+cos²a(sin² a) / cos²a
= 1+cos²a/cos²a + sin²a/cos²a
= sin²a+tan²a
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