Question

Which of the following describes sec(205°)?

Answer 1

Answer:

(A) $sec(205^{\circ})$

Step by step explanation:

The given equation is:

$sec(205^{\circ})$

which can be written as:

$sec(205^{\circ})=\frac{1}{cos(205^{\circ})}$

Substituting the value of $cos(205^{\circ})$ in the above equation , we get

$sec(205^{\circ})=\frac{1}{-0.906}$

$sec(205^{\circ})=\frac{-1}{0.906}$

$sec(205^{\circ})=-1.103$

Therefore, $sec(205^{\circ})$

Hence, option A is correct.

Answer 2

This is the concept of trigonometry, to solve the question we proceed as follows;
sec(x)=1/cosx
thus;
sec(205)=1/cos205
=1/-0.9063
=-1.1034
this implies that:
sec(205)<-1