Question

if 3 coso -4 sino=2coso + sino , find tano​

Answer 1

Answer:

$\tanθ = \frac{1}{5}$

Step-by-step explanation:

$3 \cos θ - 4 \sinθ = 2 \cos θ + \sin θ$

$3 \cosθ - 2 \cosθ = \sinθ + 4 \sinθ$

$\cosθ = 5 \sinθ$

$\frac{ \sinθ}{ \cosθ} = \frac{1}{5}$

$\tanθ = \frac{1}{5}$

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Answer 2

VERIFIED ANSWER

$\sf 3cos \: θ - 4sin \: θ = 2cos \: θ + sin \: θ$

$\sf sin \: θ + 4cos \: θ=3cos \: θ- 2cos \: θ$

$\sf 5sin \: θ = cos \: θ$

$\sf \frac{sin \: θ}{cos \: θ} = \frac{1}{ 5}$

We know that:-

$\boxed{ \rm{tan \: θ = \frac{sin \: θ}{cos \: θ} }}$

$\therefore \: \sf \underline{\red{tan \: θ = \frac{1}{5}}}$

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