Write the following expression as a function of θ, with no angle measure in tan(π+θ) A. tan(π+θ)=1−tanπtanθtanπ+tanθ=1−0⋅tanθ0+tanθ=tanθ B. tan(π+θ)=1+tanπtanθtanπ+tanθ=1+0⋅tanθ0+tanθ=tanθ

Tangent function simplification. User Write the following expression as a function of theta, with no a...

Resuelto Write the following expression as a function of θ,

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Pregunta: Write the following expression as a function of θ, with no angle measure in tan(π+θ) A. tan(π+θ)=1−tanπtanθtanπ+tanθ=1−0⋅tanθ0+tanθ=tanθ B. tan(π+θ)=1+tanπtanθtanπ+tanθ=1+0⋅tanθ0+tanθ=tanθ

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Paso 1
Tangent function simplification.

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Write the following expression as a function of

θ

, with no angle measure in

tan (π + θ)

tan (π + θ) = \frac{t a n π + t a n θ}{1 - t a n π t a n θ} = \frac{0 + t a n θ}{1 - 0 \cdot t a n θ} = tan θ

tan (π + θ) = \frac{t a n π + t a n θ}{1 + t a n π t a n θ} = \frac{0 + t a n θ}{1 + 0 \cdot t a n θ} = tan θ