Question

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

Answer 1

$\\ \sf\longmapsto sinx=\dfrac{1}{2}$

$\\ \sf\longmapsto sinx=sin30$

$\\ \sf\longmapsto x=30$

Now

$\\ \sf\longmapsto sin2x=1$

$\\ \sf\longmapsto sin2x=sin90$

$\\ \sf\longmapsto 2x=90$

$\\ \sf\longmapsto x=\dfrac{90}{2}$

$\\ \sf\longmapsto x=45$

Hence its false

Answer 2

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°