MATH SOLVE

2 months ago

Q:
# find sec theta if theta is in quadrant 4 and sin theta= -1/5

Accepted Solution

A:

Answer:[tex]\frac{5}{2\sqrt{6} }[/tex]Step-by-step explanation:Since Θ is in fourth quadrant then cosΘ > 0, as is secΘGivensinΘ = - [tex]\frac{1}{5}[/tex], thencosΘ = [tex]\sqrt{1-(-1/5)^2}[/tex] = [tex]\sqrt{1-\frac{1}{25} }[/tex] = [tex]\sqrt{\frac{24}{25} }[/tex] = [tex]\frac{2\sqrt{6} }{5}[/tex]HencesecΘ = [tex]\frac{1}{\frac{2\sqrt{6} }{5} }[/tex] = [tex]\frac{5}{2\sqrt{6} }[/tex]