Question

Costheta- 4sintheta => sintheta+4costheta=​

Answer 1

D) x=±4

Step-by-step explanation:

Would you like to ask?If cosθ−4sinθ=1, then sinθ+4cosθ=

A) ±1

B) 0

C) ±2

D) ±4

Answer:

Given, cosθ−4sinθ=1

Let sinθ+4cosθ=x

Then (cosθ−4sinθ)2+(sinθ+4cosθ)=1+x2

⇒cos2θ+16sin2θ+sin2θ+16cos2θ =1+x2

⇒x2=16

⇒x=±4

Therefore, sinθ+4cosθ=±4