SOLUTION: Use trigonometric identities to find the value of the function. Given sin t = 1/2, 𝜋/2 < t < 𝜋, find tan t.

Algebra ->  Trigonometry-basics -> SOLUTION: Use trigonometric identities to find the value of the function. Given sin t = 1/2, 𝜋/2 < t < 𝜋, find tan t.      Log On


   



Question 1177466: Use trigonometric identities to find the value of the function.
Given sin t = 1/2, 𝜋/2 < t < 𝜋, find tan t.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
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Since  sin t = 1/2, 𝜋/2 < t < 𝜋,  it implies that  t = 5pi%2F6.


Then  tan(t) = sqrt%283%29%2F3.    ANSWER

Solved, answered and explained.     And completed.