Question

Help me quick please! i need it. hope you have a good night!

Answer 1

cot θ =
`(7√(51) )/(51)`

sin θ =
`(√(51) )/(10)`

csc θ =
`(10√(51) )/(51)`

Explanation:

First find the opposite side of angle θ by using the Pythagorean Theorem:

10² - 7² = (opposite side)²

100 - 49 = 51 => opposite side = √51

Use SohCahToa to find the values:

cot θ = adjacent/opposite = 7/√51 =
`(7√(51) )/(51)` (rationalize)

sin θ = opposite/hypotenuse =
`(√(51) )/(10)`

csc θ = hypotenuse/opposite = 10/√51 =
`(10√(51) )/(51)` (rationalize)

Hope this helps!