Sandra1144
Sandra1144 Sandra1144
  • 12-04-2019
  • Mathematics
contestada

If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?

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jdoe0001 jdoe0001
  • 12-04-2019

let's say that sin(θ) = x, then the cos(θ) which is twice the sine has to be 2x, therefore then

[tex]\bf tan(\theta )=\cfrac{sin(\theta )}{cos(\theta )}~~ \begin{cases} sin(\theta )=x\\ cos(\theta )=2x \end{cases}\implies tan(\theta )=\cfrac{x}{2x}\implies tan(\theta )=\cfrac{1}{2}[/tex]

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