The diagram shows a kite whose leading diagonal forms the diameter of a circle. Find the exact value of sin XOY
What I want to know is, do I need to find the diameter, if so, how?
Hello, r_maths!
The diagram shows a kite whose leading diagonal forms the diameter of a circle.
Find the exact value of .
Look at half of the kite . . .Code:Z * | * _ | *√5 | * __ | 90° * Y √14 | * | * | * | * 3 |θ * | * |* * O
Since is a diameter,
Using Pythagorus, we find that: .
Let
Then: .
Then: .