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!
Hello Vey
Welcome to Math Help Forum!The best thing to do with inverse trig functions is to get rid of them as soon as you can! So:
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:
Grandad