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avatar+76 

show that 2sin60 x tan30 = 1

(no calc)

 Apr 10, 2019
 #1
avatar+99580 
+3

sin 60  = sqrt (3) /2

tan 30  =  1 /sqrt 3

 

So

 

2 [ sqrt (3) / 2 ] * [ 1 /sqrt (3) ]   =

 

sqrt (3)  / sqrt (3)   =  

 

1  

 

 

cool cool cool

 Apr 10, 2019
 #3
avatar+76 
+2

smiley thanks

HoldMyBeer  Apr 10, 2019
 #2
avatar+4094 
+3

Also, remember that tan A= sin A/ cos A.

 

Thus, we have \(2*\frac{\sqrt{3}}{2}*\frac{\sqrt{3}}{3}=\frac{3}{3}=\boxed{1}.\)

.
 Apr 10, 2019
 #4
avatar+76 
+1

thanks

HoldMyBeer  Apr 10, 2019
 #5
avatar+99580 
+1

Thanks, tertre   !!!

 

cool cool cool

CPhill  Apr 10, 2019
 #6
avatar+4094 
+1

No problem ! laugh

tertre  Apr 10, 2019

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