Question

If tan theta =8/15 then cosecteta =

Answer 1

Answer:

cosecθ = 17/8

Explanation:

tanθ = 8/15

tanθ = Perpendicular/Base

cosecθ = Hypotenuse/Perpendicular

Find Hypotenuse by Pythagoras theorem,

$\longrightarrow$ (AC)² = (AB)² + (BC)²

$\longrightarrow$ AC = √(64 + 225)

$\longrightarrow$ AC = √289

$\longrightarrow$ AC = 17

cosecθ =

$\longrightarrow$ 17/8

Therefore, cosecθ = 17/8