tan 6. tan 42. tan 66. tan 78. is equal to??? Explain how pls.
tan 6. tan 42. tan 66. tan 78. is equal to??? Explain how pls.
Aditi Bhatnagar , 14 Years ago
Grade 12th Pass
Trigonometry> trigonometry (e1.11)...
3 Answers
Ashwin Muralidharan IIT Madras
Hi Aditi,
Hope it helps.
Regards,
Ashwin (IIT Madras).
Arya
Given : tan6°tan42°tan66°tan78° = ?
Here we'll use the formula :
tan3x=(tanx)tan(60+x)tan(60-x)
Solution :-
[ ( tan6°tan66°tan54°)/ tan54°]*[(tan42°tan78°tan18°)/tan18°] =1
Therefore the answer is 1.
Hope this'll help you..!!
ankit singh
tan3x=(tanx)tan(60+x)tan(60-x)
Solution :-
[ ( tan6°tan66°tan54°)/ tan54°]*[(tan42°tan78°tan18°)/tan18°] =1
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