Question

Does anyone know what this is ?

Answer 1

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.

  Tan = Opposite/Adjacent

  tan(θ) = y/x

  Sin = Opposite/Hypotenuse

  sin(θ) = y/4

The given relation is ...

  tan(θ) = 2·sin(θ)

  y/x = 2(y/4)

  2 = x . . . . . . . multiply by (2x/y)

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Additional comment

Then the angle can be found from the relation ...

  Cos = Adjacent/Hypotenuse

  cos(θ) = x/4 = 2/4 = 1/2

  θ = arccos(1/2) = 60°

and the value of y is ...

  y = 4·sin(60°) = 2√3