Question

How do I evaluate this?

Answer 1

\[\cos^{-1} (\tan(-\frac{ 3\pi }{ 4 }))\]

Answer 2

find the value of
\[\tan(\frac{ 3\pi }{ 4 })\]
then use your calculator to perform inverse cosine on that value

Answer 3

well - that in the parenthesis, typo.

Answer 4

would i find the tan using the unit circle?

Answer 5

yes

Answer 6

that wont be a special angle though.

Answer 7

wait. ya it will lol.

Answer 8

It's a special one, alright ;-)

Answer 9

brainfart.

Answer 10

so it would be\[-(\frac{ ({\frac{ \sqrt{2} }{ 2 }} }{ \frac{ -\sqrt{2} }{ 2 } }) = -1\]

Answer 11

sorry, that should have been a positive 1

Answer 12

uhh. thats a lot of work to see what tan is in q3 especially since it caused you to make a mistake

Answer 13

yes. it would be positive 1. now just evaluate arccos(1)

Answer 14

0?

Answer 15

or you could look at it where is cosx=1 yes 0 is correct.

Answer 16

if your dealing with tangent at any 45 you know that the slope of that line is either 1 or -1