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Grade 11Trigonometry

If a and b are roots of 2tan^2c+35tanc+2=0 then show that a+b=90°

Profile image of P shiva teja
8 Years agoGrade 11
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1 Answer

Profile image of Utsav Basu
8 Years ago
a and b are roots of 2tan2 c + 35tan c + 2 = 0
So,
     tan a * tan b = 2/2 = 1
or, tan a = cot b
or, a + b = 90°