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Grade 10Trigonometry

If cosX=tanY,cosY=tanZ,cosZ=tanXthen what is the value of sinX
a)2cos18 b)cos18 c)sin18 d)2sin18

Profile image of pureti meghana
9 Years agoGrade 10
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1 Answer

Profile image of Shahid
9 Years ago
Dear Meghana , 
I think it is Cot(y) and Cot(z)...
It may be  some Printing mistake (or else)
 
Because i’ve seen the this Question and the same Options too...
SO If it’s Cot Y and Cot Z
Then 
By equating the given Equations you’ll get that CosX = TanX
Thus , 
cos2x = sinX
1 – sin2x = sinX
sin2x + sinX – 1 = 0 
This is a Quadratic Equation in “SinX”
Solving this Quadratic Eqaution …
You’ll Get 
SinX = 2 Sin18.
 
Hope This Helps.... 
 :)
 

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