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What is the value of ( 1+ tanθ - secθ) ( 1 + cot θ+ cosec θ) ? |
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( 1 + tanθ - secθ) ( 1 + cot θ+ cosec θ) Put θ = 45° (1 + tan45 - sec45)(1 + cot45 + cosec45) = (1 + 1 - $\sqrt{2}$)(1 + 1 + $\sqrt{2}$) = (2 + $\sqrt{2}$)(2 + $\sqrt{2}$) = (4 - ($\sqrt{2}$)²) [(a+b)(a-b) = a²-b²} = 2
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