Question

Help PLEASE MATH!! PATHGOREAN

Answer 1

sinΘ =
`(15)/(17)`

Explanation:

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cosΘ =
`(8)/(17)`, then

sinΘ = ±
`√(1-(8/17)^2)` = ±
`\sqrt{1-(64)/(289) }` = ±
`\sqrt{(225)/(289) }` = ±
`(15)/(17)`

Since Θ is in first quadrant then sinΘ > 0, thus

sinΘ =
`(15)/(17)`