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Q.

The value of tan 2 60 ° − sin 2 30 ° tan 2 45 ° + cos 2 30 °   is:

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a

11 7   

b

7 11  

c

11 13  

d

13 11  

answer is D.

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Detailed Solution

Given expression is tan 2 60 ° − sin 2 30 ° tan 2 45 ° + cos 2 30 °  .
We know,
  tan 60 ° = 3  and tan 45 ° =1 sin 30 ° = 1 2  and cos 30 ° = 3 2  
Using the above identity we can solve the problem as - Question ImageHence, the value of tan 2 60 ° − sin 2 30 ° tan 2 45 0 + cos 2 30 ° = 11 7 .  
Therefore, option 4 is correct.
 
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The value of tan 2 60 ° − sin 2 30 ° tan 2 45 ° + cos 2 30 °   is: