Question
If sec theta - tan theta = 1/2, then sec theta
=Solution
ATQ, We know: (sec theta - tan theta)(sec theta + tan theta) = 1 Given: sec theta - tan theta = 1/2 So, (sec theta + tan theta) = 2 Now add both: (sec theta - tan theta) + (sec theta + tan theta) = 1/2 + 2 2 sec theta = 5/2 sec theta = 5/4
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