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4. Calculate tan 112.5° using a half-angle identity.
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Calculate tan 112.5° using a half-angle identity.

User Moin Ahmed
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1 Answer

5 votes

Answer:


-√(2) -1

Explanation:


tan(\alpha/2)=(1-cos\alpha )/(sin\alpha ) \\tan(112.5)=tan(225/2)=(1-cos225 )/(sin225 )=(1+cos45)/(-sin45)=(1+(1)/(√(2) ) )/((-1)/(√(2) ) )= -√(2) -1

User VGO
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