Trig ratios help?

Determine all coterminal angles that lie in the interval, -4pi <or equal to angle theta <or equal to 4pi, for the angles:

1. 3pi/2

2. -5pi/3

How should I start this kind of question?

1 Answer

Relevance
  • alex
    Lv 7
    3 weeks ago
    Best answer

    -4π ≤ θ ≤ 4π

    1/

    θ = 3π/2 + k(2π) , with k = 0 , ±1 , ±2 , ±3 , ...

    k=0 --->θ = ...

    k=1 --->θ = ..

    k=-1 --->θ = ..

    ....

    2/

    θ = -5π/3 + k(2π) , with k = 0 , ±1 , ±2 , ±3 , ...

    k=0 --->θ = ...

    k=1 --->θ = ..

    k=-1 --->θ = ...

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