Questions from Calculus


Q: Determine the quadrant in which θ lies. a. sin

Determine the quadrant in which θ lies. a. sin θ > 0 and cos θ < 0 b. csc θ < 0 and tan θ > 0

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Q: Find two solutions of each equation. Give your answers in radians

Find two solutions of each equation. Give your answers in radians (0 ≤ θ ≤ 2π). Do not use a calculator. a. cos θ = √2/2 b. cos θ = -√2/2

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Q: Sketch the graph of the equation by point plotting. y

Sketch the graph of the equation by point plotting. y = 3/x

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Q: Find two solutions of each equation. Give your answers in radians

Find two solutions of each equation. Give your answers in radians (0 ≤ θ ≤ 2π). Do not use a calculator. a. sec θ = 2 b. sec θ = -2

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Q: Find two solutions of each equation. Give your answers in radians

Find two solutions of each equation. Give your answers in radians (0 ≤ θ ≤ 2π). Do not use a calculator. a. tan θ = 1 b. cot θ = -√3

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Q: Find two solutions of each equation. Give your answers in radians

Find two solutions of each equation. Give your answers in radians (0 ≤ θ ≤ 2π). Do not use a calculator. a. sin θ = √3/2 b. sin θ = -√3/2

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. 2 sin2 θ = 1

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. tan2 θ = 3

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. tan2 θ –tan θ = 0

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Q: Solve the equation for θ, where 0 ≤ θ ≤ 2π

Solve the equation for θ, where 0 ≤ θ ≤ 2π. 2 cos2 θ –cos θ = 1

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