If cosec2θ = 2 cosecθ - 1 . Then find the value of sinθ .
Answer & explanation
Correct answer: option 4
cosec2θ = 2 cosecθ - 1
cosecθ = 2 - \(\frac{1}{coseθ}\)
cosecθ + \(\frac{1}{cosecθ}\) = 2
cosecθ = 1, then θ = 90°
sinθ = sin90° = 1
If cosec2θ = 2 cosecθ - 1 . Then find the value of sinθ .
Correct answer: option 4
cosec2θ = 2 cosecθ - 1
cosecθ = 2 - \(\frac{1}{coseθ}\)
cosecθ + \(\frac{1}{cosecθ}\) = 2
cosecθ = 1, then θ = 90°
sinθ = sin90° = 1