First slide

Trigonometric equations

Question

Solution of the equation $\sin x = \frac{\sqrt{5} - 1}{4}$

Very Easy

A

$x = n π + {(- 1)}^{n} \frac{π}{10}, n \in z$
B

$x = n π + {(- 1)}^{n} \frac{π}{5}, n \in z$
C

$x = n π + {(- 1)}^{n} \frac{π}{12}, n \in z$
D

$x = n π + {(- 1)}^{n} \frac{2 π}{5}, n \in z$

Solution

$\sin x = \frac{\sqrt{5} - 1}{4} \Rightarrow \sin x = \sin \frac{π}{10}$
$x = n π + {(- 1)}^{n} \frac{π}{10}, n \in z$

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