Question

if cos theta - 4 sin theta equal to 1 then sin theta + 4 cos theta equal to​

Answer 1

Given:-

CosØ - 4sinØ = 1 ----------(1)

Let,

SinØ + 4cosØ = x --------(2)

Squaring and adding both the equations,

(CosØ - 4sinØ)²+(SinØ + 4cosØ)² = 1² + x²

Cos²Ø + 16Sin²Ø - 8sinØcosØ + Sin²Ø + 16cos²Ø + 8sinØcosØ = 1 + x²

Cos²Ø + Sin²Ø + 16Sin²Ø + 16Cos²Ø = 1 + x²

1 + 16(Sin²Ø + Cos²Ø) = 1 + x²

1+16 = 1 + x²

x²= 16

x = √16

$x = \pm{4}$

SinØ + 4CosØ = $\pm{4}$

Answer 2

Answer:

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