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Find the exact value of - tan200(cot10-tan10) You have to find exact value and please tell me tan20*2 =2 how

Find the exact value of -
tan200(cot10-tan10)
You have to find exact value and please tell me tan20*2 =2 how
 
 

Grade:11

2 Answers

Arun
25757 Points
4 years ago
 

Write tan200 as tan(180+20)=tan20.

 

Now

 

tan (10 + 10) * (1 – tan^2 10 / tan 10 )

 

(2 tan 10 / (1 – tan^2 10)) * ((1 – tan^210 ) / tan 10)

 

 = 2

 

 

Regads

Arun

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
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