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Use a difference identity to find the exact value of tan 15.
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3 votes
Use a difference identity to find the exact value of tan 15.

User Matte
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2 Answers

5 votes
X minus positive three minus -2 equals 7-15
User Tyh
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6 votes

Answer:


2-√(3)

Explanation:


tan15 = tan(45 - 30)=(tan(45)-tan(30))/(1+tan(45)tan(30))\\\\=(1-(1)/(√(3)))/(1+(1)/(√(3)))\\\\\\=(√(3)-1)/(√(3)+1)\\\\\\


=((√(3)-1)^2)/(3-1)\\=(3+1-2√(3))/(2)\\=2-√(3)

User Anton Kochkov
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