Q. 144.7( 3 Votes )

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

Answer :


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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