Question

Cosectheta+cotthetsa=2 find sintheta

Answer 1

Step-by-step explanation:

1+costheta/2 = sintheta

Answer 2

Answer:

Sinθ = 4/5

Step-by-step explanation:

Given, Cosecθ + Cotθ = 2 -----> (1)

Cosec²θ - Cot²θ = 1

⇒ (Cosecθ + Cotθ)(Cosecθ - Cotθ) = 1

⇒ 2(Cosecθ - Cotθ) = 1

⇒ Cosecθ - Cotθ = 1 / 2 -----> (2)

(1) + (2)

⇒ 2Cosecθ = 2 + 1/2

⇒ 2Cosecθ = 5/2

⇒ Cosecθ = 5/4

∴ Sinθ = 1/Cosecθ = 4/5