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If (1)/(cos alpha * cos beta )+ tan alp...

If ` (1)/(cos alpha * cos beta )+ tan alpha * tan beta = tan gamma ` , where ` 0 lt gamma lt (pi)/2 and alpha , beta ` are positive acute angles , show that ` (pi)/4 lt gamma lt (pi)/2`

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The correct Answer is:
`:. (pi)/(4) lt gamma lt (pi)/(2)`
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