Answered

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state whether the following statement is true or false: if sin x = 1/2 ; then sin 2 x = 1 ​

Sagot :

mhanifa

Answer:

  • False

Step-by-step explanation:

  • sin x = 1/2 ⇒ x = 30°
  • sin 2x = 1 ⇒ 2x = 90° ⇒ x = 45°

The answer is false as 30° ≠ 45°

[tex]\\ \sf\longmapsto sinx=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sinx=sin30[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Now

[tex]\\ \sf\longmapsto sin2x=1[/tex]

[tex]\\ \sf\longmapsto sin2x=sin90[/tex]

[tex]\\ \sf\longmapsto 2x=90[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{90}{2}[/tex]

[tex]\\ \sf\longmapsto x=45[/tex]

Hence its false

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