From the given figure, find the value of the following:

(i) sin C

(ii) sin A

(iii) cos C

(iv) cos A

(v) tan C

(vi) tan A

(i) Sin C

We know that,

So, here θ = C

Side opposite to ∠C = AB = 3

Hypotenuse = AC = 5

So,

(ii) Sin A

So, here θ = A

The side opposite to ∠A = BC = 4

Hypotenuse = AC = 5

So,

(iii) Cos C

We know that,

So, here θ = C

Side adjacent to ∠C = BC = 4

Hypotenuse = AC = 5

So,

(iv) Cos A

Here, θ = A

Side adjacent to ∠A = AB = 3

Hypotenuse = AC = 5

So,

(v) tan C

We know that,

So, here θ = C

Side opposite to ∠C = AB = 3

Side adjacent to ∠C = BC = 4

So,

(vi) tan A

here θ = A

Side opposite to ∠A = BC = 4

Side adjacent to ∠A = AB = 3

So,