http://i1.tinypic.com/4gxilvm.jpg

The diagram shows a kite whose leading diagonal forms the diameter of a circle. Find the exact value ofsin XOY

What I want to know is, do I need to find the diameter, if so, how?

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- January 7th 2007, 07:30 AMr_mathstrigonometry Addition Formulae (v)
http://i1.tinypic.com/4gxilvm.jpg

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? - January 7th 2007, 08:07 AMThePerfectHacker
- January 7th 2007, 08:30 AMr_maths
- January 7th 2007, 08:34 AMSoroban
Hello, r_maths!

Quote:

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: .

- January 7th 2007, 08:48 AMr_maths