Question

which equation should be used to graph y=sec^-1(x) on a calculator ?

y=1/sec(x)
y=1/cos^-1(x)
y=sec(1/x)
y=cos^-1(1/x)

Answer 1

Arcsecant or arcsec or sec⁻¹ is an inverse trigonometric function. And many calculators don't have a key for them because they can be calculated with basic trigonometric functions like so:

sec⁻¹(x)=cos⁻¹(1/x). 

So the correct answer is the fourth one: y=cos⁻¹(1/x).

Answer 2

The equation that can be used to graph y = sec⁻¹x is; B: y = cos⁻¹(1/x)

How to use trigonometric ratios?

We know that the trigonometric basic ratios are;

1/sin x = cosec x

1/cos x = sec x

1/tan x = cot x

Now, since we want to graph the function y = sec⁻¹x, from the trigonometric ratios written above we can say that it can be expressed as; y = cos⁻¹(1/x)

Read more about Trigonometric ratios at; https://brainly.com/question/13276558

#SPJ5