The longer leg to the triangle should be 90 because its the largist angle if that is what it is askng
Answer:
x = √2/2
Step-by-step explanation:
Use the identity:
arcsin x + arccos x = π/2
Therefore, we can rewrite this as:
arcsin x (π/2 − arcsin x) = π²/16
If we substitute y = arcsin x:
y (π/2 − y) = π²/16
π/2 y − y² = π²/16
0 = y² − π/2 y + π²/16
0 = 16y² − 8π y + π²
0 = (4y − π)²
y = π/4
Substituting back:
arcsin x = π/4
x = sin(π/4)
x = √2/2
Answer:
x = -6
Step-by-step explanation:
(2x/3) + 10 = (x/5) + (36/5)
15*[(2x/3) + 10 = (x/5) + (36/5)] <em>[Multiply both sides by 15 in order to convert the fractions to whole numbers]</em>
(15/3)*2x +15*10 = (15/5)x + (15/5)*36
5*2x + 150 = 3x + 3*36
10x +150 = 3x + 108
7x = -42
x = -6
===
<u>Check:</u>
Does (2x/3) + 10 = (x/5) + (36/5) work for x = -6?
(2(-6)/3) + 10 = (-6/5) + (36/5) ?
-4 + 10 = (30/5) ?
6 = 6 YES
Answer: {x,y} = {-3,-4}
Step-by-step explanation:
