if cot0= 1.5 find tan0
Mathematics · College · Wed Jan 13 2021
Answered on
Given the trigonometric value:
cot x = 1.5
Find tan x.
Solution:
In order to determine the value of tan x we simply apply the concept of trigonometric identities, specifically reciprocal identities.
sin = 1 / csc
cos = 1/ sec
tan = 1/cot
csc = 1/sin
sec = 1/cos
cot = 1/tan
Simply substitute the value of 1.5 to the formula for the tangent reciprocal.
tan x = 1/cot x
tan x = 1/1.5
tan x = 0.6666…
Since we have a repeating decimal, we can either equate it with a repeating word enclosed with a parenthesis, a dash line or an ellipsis. In our case we will use the ellipsis.
Final answer:
tan x = 0.6666…