Question

$\huge \fbox \red{❥ Question}$
How to find tan(-pi)?​

Answer 1

Answer:

Apply the definition:

tan(x)=sin(x)cos(x)

So,

tan(−π)=sin(−π)cos(−π)

Actually, you may notice that −π and π identify the same angle, since you're making half of a turn, either clockwise or counterclockwise, but still ending at (−1,0). So, we may simplify the expression into

tan(−π)=tan(π)=sin(π)cos(π)

Now, π is a known value for trigonometric function, and I've actually already wrote the answer: since the angle π is associated to the point (−1,0), and for every point P=(x,y) identified by the angle α on the unit circumference you have (cos(α),sin(α))=(x,y), we have

(cos(π),sin( π ))=(−1,0)

and thus

tan( -π) = tan (π)= sin(π)÷cos (π) =0/-1 = 0

Answer 2

Step-by-step explanation:

hope it helps you