Answer :
Answer:
-3/5
Step-by-step explanation:
Given :-
- The terminal ray of an angle passes through the point (16,–12).
And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.
Using Pythagoras Theorem :-
[tex]:\implies[/tex] h² = p² + b²
[tex]:\implies[/tex] h² = 16² + 12²
[tex]:\implies[/tex] h² = 256 + 144
[tex]:\implies[/tex] h² = 400
[tex]:\implies[/tex] h = 20 u
Therefore the sine will be :-
[tex]:\implies[/tex] sinθ = p/h
[tex]:\implies[/tex] sinθ = 12/20
[tex]:\implies[/tex] sinθ = 3/5
- And it is in third quadrant so , sine will be negative .
[tex]:\implies[/tex] sinθ = -3/5
Therefore the value of sine is -3/5.