Answer:
[tex]a = \frac{ \sqrt{2} }{2} [/tex]
[tex]b \: = \frac{ \sqrt{2} }{2}[/tex]
Step-by-step explanation:
If the hypotenus is 1, implies that c = 1 = hypotenus.
Using Trigonometric ratio,
Sin 45° = a / c = a / 1
a = sin45° = 1/√2 =
[tex]a = \frac{ \sqrt{2} }{2} [/tex]
Also,
sin 45° = b / c = b / 1
b = sin 45°
[tex]b = \frac{1}{ \sqrt{2} } = \frac{ \sqrt{2} }{2} [/tex]
[tex]b \: = \frac{ \sqrt{2} }{2} [/tex]
