Question

How do you find the exact functional value tan(60˚+45˚) using the cosine sum or difference identity?

Answer 1

=`(sqrt2+sqrt6)/(sqrt2-sqrt6)`

Explanation:

tan(60+45)= `sin(60+45)/ cos (60+45)`=`(sin60 cos45+cos60sin45)/(cos60cos45-sin60sin45)`

=`(sqrt6/4 +sqrt2/4)/(sqrt2/4 - sqrt6/4)`

=`(sqrt2+sqrt6)/(sqrt2-sqrt6)`