Question

find the value of sec -855°​

Answer 1

Step-by-step explanation:

sec (-855°)

=sec (-1080°+135°)

=sec(135°)

=sec (90°+45°)

= -cosec45°

$= - \sqrt{2}$

THANK YOU

PLEASE MARK MY ANSWER AS BRINLIST

Answer 2

Answer:

The value of sec -855°​ is  $-\sqrt{2}$.

Step-by-step explanation:

The sec of any angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

We are asked to find the value of $\sec -855^{\circ}$:

Calculate the required value using the trigonometric properties as shown below:

$\sec(-855^{\circ})\\=\sec \left(-1080^{\circ}+135^{\circ}\right)$

$\begin{aligned}&=\sec \left(135^{\circ}\right) \\&=\sec \left(90^{\circ}+45^{\circ}\right)\end{aligned}$

$&=-cosec 45^{\circ} \\&=-\sqrt{2}$

Therefore, the value of sec $-855^{\circ}$ is $-\sqrt{2}$ .