How do you find the exact values of tan 15^o using the half angle formula?

racmanovcf

racmanovcf

Answered question

2022-10-22

How do you find the exact values of tan 15 using the half angle formula?

Answer & Explanation

relatatt9

relatatt9

Beginner2022-10-23Added 12 answers

Use the formula tan 2 x = 2 tan x 1 tan 2 x with x=15
tan 30 = 1 3 = 2 tan 15 1 tan 2 15
tan 2 15 + 2 3 tan 15 1 = 0
tan 15 = 2 3 ± 12 + 4 2 . Neglect negative value for x, as tan 15 would be positive in the 1st quadrant.
tan 15 = 3 + 2

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