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tan^2(30)= 1/cos^2(30) - 1 explain why. 

 Dec 9, 2015

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 #1
avatar+26399 
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tan^2(30)= 1/cos^2(30) - 1 explain why. 


Use the Pythagorean identity sin2(θ)+cos2(θ)=1

 

sin2(30)+cos2(30)=1|:cos2(30)sin2(30)cos2(30)+cos2(30)cos2(30)=1cos2(30)sin2(30)cos2(30)=tan2(30)tan2(30)+1=1cos2(30)|1tan2(30)=1cos2(30)1

 

laugh

 Dec 9, 2015
 #1
avatar+26399 
+10
Best Answer

tan^2(30)= 1/cos^2(30) - 1 explain why. 


Use the Pythagorean identity sin2(θ)+cos2(θ)=1

 

sin2(30)+cos2(30)=1|:cos2(30)sin2(30)cos2(30)+cos2(30)cos2(30)=1cos2(30)sin2(30)cos2(30)=tan2(30)tan2(30)+1=1cos2(30)|1tan2(30)=1cos2(30)1

 

laugh

heureka Dec 9, 2015

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