What is the radian measure of arctan 1/2 + arctan 1/3?
just get out your calculator, put it in radian mode, and hit the buttons.
To find the radian measure of arctan 1/2 + arctan 1/3, we can use the trigonometric identity:
arctan(a) + arctan(b) = arctan((a + b) / (1 - ab))
Using this identity, we can simplify the expression:
arctan(1/2) + arctan(1/3) = arctan((1/2 + 1/3) / (1 - (1/2)(1/3)))
= arctan((3/6 + 2/6) / (1 - 1/6))
= arctan(5/6 / 5/6)
= arctan(1)
Now, the radian measure of arctan(1) is π/4 radians.
Therefore, the radian measure of arctan 1/2 + arctan 1/3 is π/4 radians.