1+ sin Φ/cos Φ + cos Φ / 1+ sin Φ
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taking lcm
(1+sin¤)^2+cos^2¤ /cos¤+sin¤cos¤
1+sin^2¤+2sin¤+cos^2¤/cos¤+sin¤cos¤
2+2sin¤/cos¤(1+sin¤)
2(1+sin¤)/cos¤(1+sin¤)
2/cos¤
2sec¤
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