Answer:
The answer to your question is 3. 0
Step-by-step explanation:
Process
1.- Find the cos a
Opposite side = 5
Hypotenuse = 13
Adjacent side = ?
Adjacent side² = 13² - 5²
= 169 - 25
= 144
Adjacent side = 12
cos a = 12/13
2.- Find the sin b
sin b = 5/13
3.- Use the formula below to find sin(a + b)
sin (a + b) = sina cosb + sin b cos a
- Substitution
sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)
- Simplification
sin (a + b) = -60/169 + 60/13
- Result
sin(a + b) = 0
