Answer:
[tex]\frac{2.\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Sec = 1/cos
Using the above identity, we can write the given sec(-30) as
sec(-30) = 1/ cos(-30)
On the trigonometric unit circle.
cos(-30) = cos(30) = [tex]\frac{\sqrt{3} }{2}[/tex]
Therefore,
sec(-30) = 1/cos(-30) = 1/cos(30)
Now plug in cos(30) = √3/2
sec(-30) = 1/ (√3/2)
= 1 * 2/√3
= 2/√3
Since we have radical number in the denominator, so we can multiply both the numerator and the denominator by √3.
= (2*√3) /(√3*√3)
= 2√3 /3
Answer: [tex]\frac{2.\sqrt{3} }{3}[/tex]
Hope you will understand the concept.
Thank you.
