Question

Represent the following complex number in trigonometric form:
$\sin {32}^{\circ }+i\cos {32}^{\circ }$

Answer 1

$\sin {32}^{\circ }+$$\cos {32}^{\circ }$

$⟹\sin (90-58{)}^{\circ }+$$\cos (90-58{)}^{\circ }$

$⟹\cos {58}^{\circ }+$$\sin {58}^{\circ }$

$⟹\frac{58\times \pi }{180}=\frac{29\pi }{90}$

$⟹e^{29\pi /90}$