Question

if tantheta+1/tantheta=2 then find the value of cosecc theta is​

Answer 1

Answer:

Step-by-step explanation:

Tanθ + 1/Tanθ = 2

=> Tan²θ + 1 = 2Tanθ

=> Tan²θ + 1 - 2Tanθ = 0

=> (Tanθ - 1)² = 0

=> Tanθ - 1 = 0

=> Tanθ = 1

=> Tanθ = Tan45°

=> θ = 45°.

Now, Cosecθ = Cosec45° = √2