Question

Find the exact value of arccos (sqrt(2)/(2))

Answer 1

arctan( sqrt(3)/3 )

= arctan( 3 / sqrt(3) ) because ( sqrt(3)/3 )*( sqrt(3) )/sqrt(3) ) = 3/( 3*sqrt(3) ) = 1/sqrt(3)

Use the 1 - sqrt(3) - 2 triangle to figure this out.

arctan( 1/sqrt(3) ) = pi/6 = 30 degrees

pi/6 = 30 degrees because

pi/6 * 180 degrees/pi = 30 degrees

Answer 2

I dont realy know what is it about

Answer 3

The answer is 45 degrees or pi/4. arccos is a function which asks you which angle x has the cos(x)=some value. In this case, they're just asking you which angle has the cos value of sqrt(2)/2.