Question

if sectheta+tantheta=2,then sec theta- tan theta=?

Answer 1

sec theta + tan theta = 2
= 1/sec theta + tan theta = 1/2
= 1/sec theta + tan theta * (sec theta - tan theta)/(sec theta - tan theta) = 1/2
= sec theta - tan theta/sec^2 theta - tan^2 theta  = 1/2     
Formula is ( sec^2 theta -tan^2 theta = 1)

So,  sec theta - tan theta = 1/2 

Answer 2

secα +tanα = 2
We know that sec²α-tan²α=1
This can be written as (secα-tanα)(secα+tanα)=1
Substitute the value of secα+tanα=2 in the above equation from which we get the value of secα-tanα= 1/2
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