# If tan x = 3/4 and tan b = 2/7 Find tan(a-b)

tana = 3/4       tan b = 2/7

We know that:

tan(a-b) = (tan a - tanb)/(1+ tana*tanb)

Let us substitute:

tan(a-b) = (3/4 - 2/7) / [1+ (3/4)*(2/7)]

= (21-8)/28 / (1+ 6/28)

= 13/28 / (34/28)

= 13/34

==> tan(a-b) = 13/34

Approved by eNotes Editorial Team
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}