Write every given trigonometric function: 1. tantheta, costheta in Quadrant III 2. cottheta, sintheta in Quadrant II

Ernstfalld

Ernstfalld

Answered question

2021-09-14

Write every given trigonometric function:
1. tanθ,cosθ in Quadrant III
2. cotθ,sinθ in Quadrant II
3. cosθ,sinθ in Quadrant IV
4. secθ,sinθ in Quadrant I
5. secθ,tanθ in Quadrant II
6. cscθ,cotθ in Quadrant

Answer & Explanation

Alannej

Alannej

Skilled2021-09-15Added 104 answers

1. sin2θ+cos2θ=1
cosθ=±1sin2θ
2. cosθ=1sin2θ
We know:
tanθ=sinθcosθ
So, tanθ=sinθ1sin2θ
3. sin2θ+cos2θ=1
cosθ=±1sin2θ
4. cosθ=1sin2θ
We know:
θ=cosθsinθ
5. sin2θ+cos2θ=1
sinθ=±1cos2θ
6. sinθ=1cos2θ

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