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  1. What is the value of
    (cotθ + cosecθ - 1)
    		 ?
    (cotθ - cosecθ + 1)

    1. cotθ + cosecθ
    2. 1
    3. –1
    4. 0
Correct Option: A

Expression =
(cotθ + cosecθ - 1)
(cotθ - cosecθ + 1)

Expression =
cotθ + cosecθ - (cosec2θ - cot2θ)
(cotθ - cosecθ + 1)

Expression =
(cotθ + cosecθ) - (cosecθ - cotθ)(cosecθ + cotθ)
(cotθ - cosecθ + 1)

Expression =
(cotθ + cosecθ)(1 - cosecθ + cotθ)
 = cotθ + cosecθ
(cotθ - cosecθ + 1)


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