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Grade 810 grade maths

Eliminate theta from the equation
1.lambda cos2theta=cos(theta+a),lambda sin2theta=2sin(theta+a)

Profile image of Arnav
8 Years agoGrade 8
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1 Answer

Profile image of sonika p
8 Years ago
squaring and adding both the equations, we get, 
lambda2 cos2theta = cos2(theta +a)
lambda2 sin2theta = 4sin2(theta +a)
adding both the equations, 
lambda2 (1) = 1+ 3sin2(theta +a)
sin2(theta +a) = (lambda2 -1)/3
sin(theta +a) = root((lambda2 -1)/3)
theta = sin-1(root((lambda2 -1)/3)) – a