(a) sin A
We know that,
So, here θ = A
Side opposite to ∠A = BC = 7
Hypotenuse = AC = ?
Firstly we have to find the value of AC.
So, we can find the value of AC with the help of Pythagoras theorem.
According to Pythagoras theorem,
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
⇒ (AB)2 + (BC)2 = (AC)2
⇒ (24)2 + (7)2 = (AC)2
⇒ 576 + 49 = (AC)2
⇒ (AC)2 = 625
⇒ AC =√625
⇒ AC =±25
But side AC can’t be negative. So, AC = 25cm
Now, BC = 7 and AC = 25
So, here θ = A
Side adjacent to ∠A = AB = 24
Hypotenuse = AC = 25
Cos C
We know that,