Question

value of sec (pi - x)

pls answer​

Answer 1

The value of sec(π-x) is - sec x.

Given:

A trigonometric function sec (pi - x).

To Find:

The value of sec (pi - x).

Solution:

To find the value of sec (pi - x) we will follow the following steps:

As we know,

According to the properties of trigonometry:

$secx = \frac{1}{cosx}$

$tanx = \frac{1}{cotx}$

$cosecx = \frac{1}{sinx}$

Now,

All function sine, cosine, and tan cot are positive in the first quadrant while in the second quadrant sin and cosec are positive.

$(π-x)$

belongs to the 2nd quadrant and sec and cos are negative in this quadrant.

Now,

Value of sec(π-x) =

$- secx \: \: or \: \frac{ - 1}{cosx}$

Henceforth, the value of sec(π-x) is - sec x.

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