Question

Cot(90° − x) = 1 The value of x that satisfies this equation is Blank °.

Answer 1

The correct answer is x = 90°

Explanation:

It is given that, cos(90° − x) = 1

To find the value of x

To find the value x, we have to find cos inverse of 1.

cos(90° − x) = 1

90 - x = cos⁻¹ (1)

90 - x = 0

x = 90°

Therefore the value of x is 90°.

The correct answer is x = 90°

Answer 2

`x=90\degree`

Explanation:

The given trigonometric equation is

`\cos(90\degree -x)=1`

We take the inverse cosine of both sides to obtain;

`(90\degree -x)=\cos^(-1)(1)`

`(90\degree -x)=0`

Group similar terms t obtain;

`-x=0-90\degree`

`x=90\degree`