Question 1087603
Question:
Find the exact value of tan 300 degrees. Use the sum or difference identity.
 
Solution:
300 degrees = 5π/6
=π-π/6
 
and we know that tan(π)=0, and tan(π/6)=sqrt(3)/3
tan(300°)
=tan(π-π/6)
=(tan(π)-tan(π/6))/(1+tan(π)*tan(π/6))
=(0-sqrt(3)/3)/(1+0)
=-sqrt(3)/3