Question

find the exact value cos^-1 [tan(pi/4)]

Answer 1

A. -1
B. 0
C. 1/2
D. 1

Answer 2

do you know what \(\tan(\frac{\pi}{4})\) is ?

Answer 3

To convert radians to degrees, multiply by \(\frac{ 180 }{ \pi }\)

So:

\[\frac{ \pi }{ 4 } \times \frac{ 180 }{ \pi }\]

Answer 4

sooo im going with c?

Answer 5

\[\frac{ \pi }{ 4 } \times \frac{ 180 }{ \pi } = 45\]

SO:

\[\tan( \frac{ \pi }{ 4 } ) = \tan(45)\]

Answer 6

not really clear why you need to convert
these functions are functions of numbers, not "degrees"
\[\tan(\frac{\pi}{4})=1\]

Answer 7

well yeah, but at the end its the same thing lol :P

Answer 8

\[\tan(\frac{ \pi }{ 4 }) = \tan(45) = 1\]

Answer 9

not really
trig functions are functions of numbers
as such, the numbers correspond to angles, but only if measured in radians

Answer 10

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

\[\cos^-1 [\tan(45)]\]

\[\cos^-1 [(1)]\]

PUNCH IT IN A CALC and you should get 0

*please double check*