Question

if sin0 = 1/radical2, find the value of 0
a. 30º
b. 45º
c. 60º
d. 90º

Answer 1

45

Answer 2

ignore the 6 and 7 just the same triangle though

Answer 3

how do you know?

Answer 4

well because i have the 45, 45, 90 triangle memorized. hypotenuse is 1, both sides are
\[\frac{\sqrt{2}}{2}\]

Answer 5

we can derive it if you like

Answer 6

ok thank you!

Answer 7

wait,

Answer 8

make a 45 45 90 triangle. because to angles are the same, so are the two legs. make the hypotenuse 1 and call the sides x
then
\[x^2+x^2=1\]
\[2x^2=1\]
\[x^2=\frac{1}{2}\]
\[x=\frac{1}{\sqrt{2}}\]

Answer 9

nevermind you are right, the 2 legs are equal

Answer 10

whew

Answer 11

thank you!i gave you a medal for your help!