# If tan θ =0.75, then find the value of sin θ.

We know that,

Or

Given: tan θ =0.75

Let,

The side opposite to angle θ =BC = 3k

The side adjacent to angle θ =AB = 4k

Firstly we have to find the value of AC.

So, we can find the value of AC with the help of Pythagoras theorem

(AB)2 + (BC)2 = (AC)2

(4k)2 + (3k)2 = (AC)2

(AC)2 = 16 k2 +9 k2

(AC)2 = 25 k2

AC =√25 k2

AC =±5k

But side AC can’t be negative. So, AC = 5k

Now, we will find the sin θ

Side opposite to angle θ = BC = 3k

and Hypotenuse = AC = 5k

So,

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