Question

tan 165 degree solution of 11 class 3 marks

Answer 1

Answer:

(1-√3)/(1+√3)

Explanation:

tan 165= tan(45+120)

As, tan(a+b) = (tan a + tan b)/ (1 - tan a. tan b)

tan(45+120) =(tan 45 + tan 120)/ (1 - tan 45.tan 120)

and tan 45= 1 ; tan 120= -√3

tan(45+120) = 1 + (-√3) / 1 - (1)(-√3)

= (1 -√3) / (1 + √3)