Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.