(1 + cot 0 - cosec 0)(1 + tan 0 + sec 0) = 2
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Explanation:
RHS: (1 + tanA + secA) (1 + cotA - cosecA) = 2
On substituting the values of tanA , secA, cotA and cosecA,
(1 + sinA/cosA + 1/cosA)(1 + cosA/sinA - 1/sinA)
=[(cosA + sinA + 1)/cosA][(sinA + cosA - 1)/sinA]
=( (cosA + sinA)² - 1²)/cosAsinA
= cos²A + sin²A + 2 - 1
= 1 + 2 - 1
=2
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