Question

if secteta -tan teta =1/2 then sec teta + tan teta =?
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Answer 1

Step-by-step explanation:

Given, sec theta - tan theta = 1/2

We know that,

${ \sec}^{2} theta \: - { \tan}^{2} theta = 1$

$( \sec \: theta \: + \tan \: theta)(sec \: theta \: - \: tan \: theta ) = 1$

$(sec \: theta \: + tan \: theta) \times \frac{1}{2} = 1$

$(sec \: theta \: + tan \: theta) = 1 \times 2$

$(sec \: theta \: + tan \: theta) = 2$

The value of ( sec theta + tan theta) is 2.