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Look at the unit circle shown below.

Which statement is TRUE? A The x-coordinate of P corresponds to cosθ , which has a period of 2π . B The x-coordinate of P corresponds to cosθ , which has a period of π . C The y-coordinate of P corresponds to cosθ , which has a period of 2π . D The y-coordinate of P corresponds to cosθ , which has a period of π .

Look at the unit circle shown below Which statement is TRUE A The xcoordinate of P corresponds to cosθ which has a period of 2π B The xcoordinate of P correspon class=

Respuesta :

Answer:

A is true.

Step-by-step explanation:

Cos θ = adjacent / hypotenuse = x/1 = x.

Cosθ has a period pf 2π.

Answer:

The correct option is A.

Step-by-step explanation:

Draw a perpendicular form point P on x-axis.

Radius of unit circle is 1 . It means in triangle OPA

Hypotenuse = OP = 1 units

Adjacent= OA = x

Perpendicular = PA = y

In a circle angled triangle,

[tex]\cos \theta = \frac{adjacent}{hypotenuse}[/tex]

In triangle OPA,

[tex]\cos \theta = \frac{x}{1}[/tex]

[tex]\cos \theta =x[/tex]

The x-coordinate of P corresponds to cosθ.

The period of a unit circle is 2π.

Therefore, the correct option is A.

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