3 years ago

Does anyone know what this is ?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

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)

_____

<em>Additional comment</em>

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

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