A Trigonometric problem for JEE Aspirants

Geometry Level 4

E = tan ⁡ ( A ) tan ⁡ ( 2 A ) + tan ⁡ ( 2 A ) tan ⁡ ( 4 A ) + tan ⁡ ( 4 A ) tan ⁡ ( A ) E = \tan(A) \tan(2A) + \tan(2A) \tan(4A) + \tan(4A) \tan(A)

Find the value of E E where A = 2 π 7 A = \dfrac{2\pi}7 .

This is Original.
Also try Range of a Three Variable Function .


The answer is -7.

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Anupam Khandelwal by Anupam Khandelwal , 24, India

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2 solutions

Anupam Khandelwal
Sep 23, 2015

8 Helpful 0 Interesting 0 Brilliant 0 Confused
Aakash Khandelwal
Oct 16, 2015

Apply : cyclic sum of tangents of angles of a triangle taken two at a time = 1+1/product of cosines

1 Helpful 1 Interesting 1 Brilliant 0 Confused

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