Question

If tanθ = 1/3, then secθ = _____.

Answer 1

sec x = √10 /3

Explanation:

tanx = 1/3

tan²x = (1/3)²

= 1/9

Trigonometric identity

sec²x - tan²x = 1

sec²x = 1 + tan²x

sec²x = 1 + 1/9

= 10/9

Now, sec x = √(10/9)

= √10 / 3

Hope this answer helps you....