Question

If cosθ=40/41,find sinθ,cotθ,secθ

Answer 1

Hello.

Angle Theta is equal to: x² + y² = r² OR
`r = \sqrt{ x^(2) + y^(2) }`

40² + y² = 41²
1600 + y² = 1681
-1600 -1600
y² = 81
y = 9

x = 40, y = 9, r = 41

cos θ=
`(x)/(r)` =
`(40)/(41)`

sin θ =
`(y)/(r) = (9)/(41)`
cot θ =
`(x)/(y) = (40)/(9)`
sec θ =
`(r)/(x) = (41)/(40)`

Hopefully it makes sense! :)