Evaluate each of the following:
tan–1 (tan 4)
As, tan–1(tan x) = x
Provided x ϵ 
Here our x is 4 which does not belong to our range
We know tan(π –θ) = –tan(θ)
∴ tan(θ –π ) = tan(θ)
∴ tan(4–π ) = tan(4)
Now 4–π is in the given range
∴ tan–1 (tan 4) = 4–π
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
