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Viluxent Set 1 Paper 1 · Q6

Paper 1TrigonometryGeometryAlgebra

The circle CC has equation (x−5)2+(y−4)2=9(x-5)^2+(y-4)^2=9. The two tangent lines from the origin OO to CC meet at OO, making an angle θ\theta between them. Find the exact value of cos⁡θ\cos\theta.

A741\frac7{41}
B941\frac9{41}
C2341\frac{23}{41}
D3241\frac{32}{41}
E3941\frac{39}{41}
F141\frac1{41}

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