How do you find the exact value of the expression #(tan((5pi)/4)-tan(pi/12))/(1+tan((5pi)/4)tan(pi/12))#?
1 Answer
Mar 18, 2018
Explanation:
#"note that"#
#•color(white)(x)tan(A-B)=(tanA-tanB)/(1+tanAtanB)#
#"the given expression is in this form"#
#=tan((5pi)/4-pi/12)=tan((7pi)/6)#
#tan((7pi)/6)=tan(pi/6)=1/sqrt3=sqrt3/3#
