How do you determine the value of tan 7π /6 and other tangents ?

Question

I was wondering how, using the relationship: tan θ = sinθ/cosθ I could find values of tan θ where θ is in radians such as tan 7π /6. Please show the steps so i can understand what's going on. Thanks!

Answer 1

7π / 6(180/π) =

π = cancells

7 / 6(180) =

6 divided into 180 = 30

7(30) = 210°

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The tangent value of 210° =

√3 / 3

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The reference of 210° is 30°

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Answer 2

I'm not sure what the purpose of your question is. Why not just use your calculator to find tan(7pi/6)? You can find
tan (7pi/6) by finding sin (7pi/6)/cos(7pi/6), but how do you find the sin and cos without a calulator or a table of trigonometric values, or evaluating an infinite series for sin and cos?

Answer 3

use a calculator. scientific or grapihnig and put in the equation. man, im in the highest math class, actually second highest-integrated 1, but was asked to go to integrated 2, but wat yer asking is confusing. im just and 8th grader. that looks like some calculus crap there.

Answer 4

7pi/6 = pi/6 + pi

Use tan (alpha + beta) =([tan alpha- tan beta)/(1+tan alpha tan beta)

tan pi = 0

tan (pi/6) = sin (pi/6) / cos (pi/6)

sin (pi/6) = 1/2

cos (pi/6) = sqrt [1- sin (pi/6)]

Ana