Let prod(r=1)^51 tan(pi/3(1+(3^r)/(3^(50)-1))=prod(r=1)^51 cot(pi/3(1+(3 ^r)/(3^(50)-1))]) On solving equation we get, 1-3 tan^2 (1+(3^r)/(3^(50)-1))=a/(bk-1),(a,b in I) then value of (a-b) is equal
BioMath: Trigonometric Functions
Example 22 - Solve tan 2x = - cot (x+pi/3) - Teachoo - Examples
Prove that ${{\\cot }^{2}}\\dfrac{\\pi }{6}+\\csc \\dfrac{5\\pi }{6}+3{{\\tan }^{2}}\\dfrac{\\pi }{6}=6$
If tan (picottheta) = cot (pitantheta) , then show that tantheta = 14 [2n + 1±√(4n^2 + 4n - 15) ] , where n>1 or n< - 2 .
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