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(1+-{cosec})(1++) equals

Question

$(1 + cot θ - cosec θ) (1 + tan θ + sec θ)$ equals

1

2

cot θ

(1 + cot θ) (1 + tan θ)

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(1 + cot θ - cosec θ) (1 + tan θ + sec θ)

equals

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Text solutionVerified

The value of

(1 + cot θ - cosec θ) (1 + tan θ + sec θ)

= \frac{( sin θ + cos θ - 1 ) ( cos θ + sin θ + 1 )}{( sin θ cos θ )}

= \frac{2 sin θ cos θ}{sin θ cos θ}

Hence, option B is the correct option.

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