Question

If Tan theta=3 then find sec theta

Answer 1

Answer:

here , tan∅ = 3

and

sec²∅ - tan²∅ = 1

=> sec²∅ - 3² = 1

=> sec²∅ -9 = 1

= > sec²∅ = 1 + 9 = 10

=> sec∅ = √10..

I hope it will help you

$.$

Answer 2

Answer:

$\tan\theta = 3$

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

${ \sec}^{2}\theta - {(3)}^{2} = 1$

${ \sec}^{2}\theta - 9 = 1$

${ \sec}^{2}\theta = 1+9$

${ \sec}^{2}\theta = 10$

$\sec\theta = \sqrt{10}$