Question

Tantheta + sec theta=2/3 then sectheta-tantheta equals to

Answer 1

Answer:

$we \: know \\ sec^{2} \theta - {tan}^{2} \theta = 1 \\ \implies (sec \theta - tan \theta)(sec \theta + tan \theta) = 1 \\ \implies (sec \theta - tan \theta) \frac{2}{3} = 1 \\ \implies sec \theta - tan \theta = \frac{3}{2}$

Answer 2

$sec \: \theta - tan \: \theta = \frac{3}{2}$

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