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Question

Solution of the quadratic equation x2(tana2+cota2)x+tana2×cota2=0 is:

A
1+cosasina
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B
1cosasina
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C
cosa1+sina
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D
cosa1sina
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Solution

The correct option is B 1+cosasina
Given quadratic equation x2(tana2+cota2)x+tana2×cota2=0
x2(sina2cosa2+cosa2sina2)x+1=0
x2sin2a2+cos2a2cosa2×sina2x+1=0
x2(1cosa2×sina2)x+1=0
x2(2×1sina)x+1=0
x22×x×1sina+1sin2a1sin2a+1=0
(x1sina)2=1sin2a1
(x1sina)2=1sin2asin2a
(x1sina)2=cos2asin2a

x1sina=2cos2asin2a

x1sina=cosasina

x=1+cosasina

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