Topic Content:
- Sine and Cosine of an Angle
In the above diagram, ΔABE, ΔACF and ΔADG and ΔAYH are all right-angled triangles and they all have angle θ in common. This means they are similar because they are equiangular.
Hence,
\( \frac{BE}{AB} = \frac{CF}{AC} = \frac{DG}{AD} \)Using: SOH CAH TOA
where:
S = Sine, C = Cosine, T = Tan
O = Opposite, H = Hypotenuse, A = Adjacent
Sin θ = \(\frac{Opposite}{Hypotenuse} \)
In each triangle, the ratio \(\frac{Opposite}{Hypotenuse}\) is called the sine of angle θ
You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!
Click on the button "Subscribe Now" below for Full Access!
Subscribe Now
Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!
Great!👍