Question

If cos 0 - 4 sin 0 = 1, then
sin 0 + 4 cos e​

Answer 1

Answer:

±4

Step-by-step explanation:

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