Question

value of tan(3598)?

Answer 1

Answer:

−0.0349207695 this is the correct answer

Answer 2

Answer:

$\tan \left(3598^{\circ \:}\right)=\tan \left(178^{\circ \:}\right)\quad \begin{pmatrix}\mathrm{Decimal:}&-0.03492\dots \end{pmatrix}$

Step-by-step explanation:

$\tan \left(3598^{\circ \:}\right)$

$\mathrm{Rewrite\:the\:angles\:for}\:\tan \left(3598^{\circ \:}\right):$ $\tan\left(3598^{\circ\:}\right)=\tan\left(\dfrac{1710+89}{90}180^{\circ\:}\right)=\tan\left(\left(\dfrac{1710}{90}+\dfrac{89}{90}\right)180^{\circ\:}\right)=\tan\left(180^{\circ\:}\cdot\:19+\dfrac{89}{90}180^{\circ\:}\right)$

$=\tan \left(180^{\circ \:}19+\dfrac{89}{90}180^{\circ \:}\right)$

$\mathrm{Use\:the\:periodiciity\:of\:}\tan :\quad \tan \left(x+180^{\circ \:}\cdot \:k\right)=\tan \left(x\right)$

$\tan \left(180^{\circ \:}\cdot \:19+\dfrac{89}{90}180^{\circ \:}\right)=\tan \left(\dfrac{89}{90}180^{\circ \:}\right)$

$=\tan \left(\dfrac{89}{90}180^{\circ \:}\right)$

$\mathrm{Simplify}$

$=\tan \left(178^{\circ \:}\right)$