Question

Use graph to answer questions

Answer 1

`\sin( \alpha ) = (4)/(5)`

Explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

• base = 3 units
• perpendicular = 4 units

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

`hyp = √(25)`

hyp = 5 units

`\sin( \theta ) = (perpendicular)/(hypotenuse) \\ \sin( \theta) = (4)/(5)`