Question

sin theta + cos theta =2
then sin theta +cos theta=??

Answer 1

Answer:

Step-by-step explanation:

Answer: (3) 2

Solution:

Given,

sin θ + cosec θ = 2

sin θ + (1/sin θ) = 2

sin2θ + 1 = 2 sin θ

sin2θ – 2 sin θ + 1 = 0

(sin θ – 1)2 = 0

sin θ – 1 = 0

sin θ = 1

cosec θ = 1/sin θ = 1/1 = 1

sin2θ + cosec2θ = (1)2 + (1)2 = 2