Question

sec theta + cos theta= 5/2, then find the value of sec theta - cos theta=?

Answer 1

sectheta +1/sectheta=5/2
(sec^2theta+1)/sectheta=5/2
2sec^2theta +2=5sec theta
2sec^2theta -5sectheta+2=0
sec theta =1/2 or 2
sectheta -costheta=3/2 or-3/2

Answer 2

Answer:

Given : $sec \theta + cos \theta= \frac{5}{2}$

Find =$Sec\theta - cos \theta$

Solution :

$sec \theta + cos \theta= \frac{5}{2}$

$sec \theta +\frac{1}{sec\theta}= \frac{5}{2}$

$sec^2 \theta + 1= \frac{5}{2}sec\theta$

$sec \theta = \frac{1}{2} , 2$

when sec $sec \theta = \frac{1}{2}$

$\frac{1}{2} - 2 = -1.5$

when sec $sec \theta = 2$

$2 - \frac{1}{2} = 1.5$