Question

. Ayuda.................... ​

Answer 1

Respuesta:

13

Explicación paso a paso:

tan(45°-θ) = 1/2

(tan45° - tanθ)/(1+tan45°·tanθ) = 1/2

(1-tanθ)/(1+tanθ) = 1/2

2(1 - tanθ ) = 1 + tanθ

2 - 2tanθ = 1 + tanθ

-2tanθ-tanθ = 1-2

-3tanθ = -1

tanθ = 1/3

cotθ = 3

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csc²θ = cot²θ+1

csc²θ = 3²+1

csc²θ = 10

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k = csc²θ +3

k = 10+3 = 13