Hey, I'm not sure wether this is univerity or pre-university stuff cuz I'm in university now, but I did it in high school too, so I'm sorry if this is at the wrong place.
My problem is this:
I need to calculate arcsin( 3/sqrt(10) ) + arccos( 1/sqrt(5) ) and the answer may not contain any cyklometric functions.
Thanks in advance!
Welcome to Math Help Forum!
Let:andThen get rid of the inverse functions:
andSo, using Pythagoras' Theorem:andNow we need , so, using , we get:
Of course, there's an infinite number of angles whose cosine is , but, noting that and , it's clear that: