Question

state the sign of tan (356)⁰. ​

Answer 1

$\textbf{To find:}$

$\textsf{Sign of}\;\mathsf{tan(356^\circ)}$

$\textbf{Solution:}$

$\textsf{We know that,}$

$\mathsf{\begin{array}{|c|c|}\cline{1-2}Quadrant&Positive\\\cline{1-2}I&All\;ratios\;are\;positive\\II&sine\;and\;cossecant\;are\;positive\\III&tangent\;and\;cotangents\;are\;positive\\IV&cosine\;and\;secant\;are\;positive\\\cline{1-2}\end{array}}$

$\textsf{Terminal side of}\;\mathsf{356^\circ}\;\textsf{lies in IV quadrant}$

$\therefore\mathsf{Sign\;of\;tan(356^\circ)\;is\;negative}$