Question

If 2 sin θ – cos θ/cos θ + sin θ=1
then the value of cot θ is


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Answer 1

Answer:

√5÷2=1.118

Step-by-step explanation:

2sin theta-cos theta/cos theta+ sin theta = 1

• cos theta/cos theta = 1
• 2 sin theta-1+sin theta =1
• 2 sin theta+ sin theta = 2
• 3 sin theta = 2

Sin theta = 2/3

cot theta = cos theta/sin theta

cot theta = √5/3 × 2/3

=√5/2

Answer 2

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Dividing numerator and denominator by sin θ

$\tt \: ⇒\frac{ \frac{2 \sin( \alpha ) - \cos( \alpha ) }{ \sin( \alpha ) } }{ \frac{ \cos( \alpha ) + \sin( \alpha ) }{ \sin( \alpha ) } } = 1$

$\tt⇒ \frac{2 - \cot( \alpha ) }{1 + \cot( \alpha ) } = 1$

$\tt \: ⇒2 - \cot( \alpha ) = 1 + \cot( \alpha )$

$\tt \: ⇒ \cot( \alpha ) = \frac{1}{2}$

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Hope it's Helpful.....:)