Question

if sec theta+tan theta=3,then sec theta-tan theta=?​

Answer 1

Answer:

we know sec^2theta-tan^2theta=1

(sectheta-tantheta)(sectheta+tantheta)=1

sectheta-tantheta=1/sectheta+tantheta

=1/3

Answer 2

The value of $\sec \theta-\tan \theta=\dfrac{1}{3}$

Step-by-step explanation:

Since we have given that

$\sec\theta+\tan \theta=3$

We need to find the value of $\sec \theta-\tan \theta$

As we know that

$\sec^2\theta-\tan^2\theta=1\\\\(\sec\theta-\tan\theta)(\sec\theta+\tan \theta)=1\\\\(\sec\theta-\tan\theta)\times 3=1\\\\\sec\theta-\tan\theta=\dfrac{1}{3}$

Hence, the value of $\sec \theta-\tan \theta=\dfrac{1}{3}$

# learn more :

If

Sec theta-tan theta=3/4

Find sec theta+tan theta

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