Question

If cosθ = -4/5 and tanθ = 3/4, find cscθ

Answer 1

cscΘ = -
`(5)/(3)`

Explanation:

Using the trigonometric identities

tan x =
`(sinx)/(cosx)` and csc x =
`(1)/(sinx)`

sinΘ = tanΘ × cosΘ

=
`(3)/(4)` × -
`(4)/(5)` = -
`(3)/(5)`

Hence

cscΘ =
`(1)/((-3)/(5) )` = -
`(5)/(3)`