Without using a calculator, find the exact value of each expression, if it is defined. Make sure your answers are in the correct range. Express your answer in radians.
d) tan^-1 (root 3/3)
e) sin^-1 (-1/2)
f) cos^-1 (-1/2)

Question

Without using a calculator, find the exact value of each expression, if it is defined. Make sure your answers are in the correct range. Express your answer in radians. 
d) tan^-1 (root 3/3)
e) sin^-1 (-1/2)
f) cos^-1 (-1/2)

anonymous · Answer

d) thats just pi/6

anonymous · Answer

e) thats just - pi/6   since sin (- pi/6) = -1/2

anonymous · Answer

f) thats just 2pi/3  since cos (2pi/3) = -1/2

anonymous · Answer

@Easyaspi314  what is the range for d?

anonymous · Answer

any questions?

anonymous · Answer

what is the range for all of them?

anonymous · Answer

from -pi/2 to pi/2.not including -pi/2 and not including pi/2

anonymous · Answer

range of (e) is -pi/2 to pi/2..including both -pi/2 and pi/2

anonymous · Answer

range of (f) is 0 till pi including both 0 and pi