Find the exact value of the expression.
sec^-1(1)

Question

Find the exact value of the expression.
sec^-1(1)

anonymous · Answer

Where is the sec of an angle equal to 1?

anonymous · Answer

I am honestly confused about this problem. others like it are not as confusing as much as this one for me. I would appreciate it if you would explain how to do this one problem.

anonymous · Answer

When you are finding sec^(-1) (1), what you are looking for, is the angle whose secant of that angle will equal to 1.

anonymous · Answer

Oh wow now I now why this was so confusing for me. I was thinking that sec was the reciprocal for sin that't why I couldn't come up with a value. Stupid me lol. so the answer should be pi since cos at pi=1 and the reciprocal of 1 is 1 right?

anonymous · Answer

Sorry, cos(pi) = -1.

anonymous · Answer

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anonymous · Answer

Look at the graph of y = cos x.

It should be clear that cos 0 = 1. And cos(pi) = -1.

anonymous · Answer

wow another stupid mistake on my part! 0 is definitely the answer. Thanks for the help!

anonymous · Answer

yes, it is. Welcome.