Sina - (cosa)(tanb)/cosa + (sina)(tanb)
sina ≡ (tana)(cosa)
(tana)(cosa) - (cosa)(tanb)/cosa + (tana)(cosa)(tanb)
= cosa(tana - tanb)/cosa(1 + tanatanb)
(cosas cancel out)
= (tana - tanb)/(1 + tanatanb) ≡ tan(a-b)
Answer:
0.1228
Step-by-step explanation:
We use sine rule

where, in any triangle <em>ABC</em>, <em>a</em> is the side opposite ∠A, <em>b</em> is the side opposite ∠B and <em>c</em> is the side opposite ∠C.
Applying this to the question,


<u>Answer:</u>
355 senior citizen tickets were sold.
<u>Step-by-step explanation:</u>
Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:
--- (1)
--- (2)
From equation 1,
.
Substitute
in equation 2 to get:




Therefore, there were 355 senior citizen tickets sold.