Solution
Solution
Solution steps
Apply trig inverse properties
Rewrite using trig identities:
Write as
Use the Half Angle identity:
Use the Double Angle identity
Substitute with
Switch sides
Divide both sides by
Square root both sides
Choose the root sign according to the quadrant of :
Use the following trivial identity:
periodicity table with cycle:
Simplify
Join
Convert element to fraction:
Since the denominators are equal, combine the fractions:
Multiply the numbers:
Apply the fraction rule:
Multiply the numbers:
Apply radical rule: assuming
Factor the number:
Apply radical rule:
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for arcsin(x)= pi/8 ?
The general solution for arcsin(x)= pi/8 is x=(sqrt(2-\sqrt{2)})/2