Answer:
The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse.
FALSE.
Step-by-step explanation:
Given:
Diagram is attached below as
Consider, Δ ABC a Right Angle Triangle at ∠ C = 90°
AB = Hypotenuse
Solution:
In Right Angle Triangle Δ ABC , apply sine identity to angle B we get
[tex]\sin B = \frac{\textrm{side opposite to angle B}}{Hypotenuse}\\[/tex]
i.e
The sine of an angle in a right triangle is the ratio of the length of the side OPPOSITE to that angle to the length of the hypotenuse... TRUE
Also For Cosine we have
[tex]\sin B = \frac{\textrm{side Adjacent to angle B}}{Hypotenuse}\\[/tex]
The Cosine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse. ... True
The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse. ...FALSE
