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Grade 11Trigonometry

Find sinx/2 cosx/2 tanx/2 in sinx=1/4 x in second quardrant

Profile image of Sreekutty
8 Years agoGrade 11
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1 Answer

Profile image of Arun
8 Years ago
Sinx = ¼, 
Hence cos x = \sqrt15/4
We know that cosx = 1- 2 sin²(x/2)
\sqrt15/4 = 1- 2 sin²(x/2)
Sin²(x/2) = (1/2) [1- \sqrt15/4]
Sin(x/2) = \LARGE \sqrt(1/2) [1- \sqrt15/4]
 
I think, now you will be able to solve other values