Question

if (4sin teta-cos teta/4sin teta cos teta)=1/2 then cot teta =​

Answer 1

Answer:

Given, cosθ−4sinθ=1

Let sinθ+4cosθ=x

Then (cosθ−4sinθ)

2

+(sinθ+4cosθ)=1+x

2

⇒cos

2

θ+16sin

2

θ+sin

2

θ+16cos

2

θ =1+x

2

⇒x

2

=16

⇒x=±4

Therefore, sinθ+4cosθ=±4

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