Question

If sec = √2 and 3/2 < < 2 , find the value of {1 + tan + cosec} / { 1 + cot - cosec}

Answer 1

Given that

sec theta = _/2

=>theta = 45°.

1+cot(α)−cosec(α)

1+tan(α)+cosec(α)

1+cot(45)−cosec(45)

1+tan(45)+cosec(45)

= 1+1+ 2 3+⅔

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