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Prove that y= 4sin θ/(2+cos θ)- θ is an increasing function of θ in [0,π/2]

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asked Jan 20, 2018 in Mathematics by sforrest072 (157,439 points) ● 61 ● 411 ● 949
Prove that y= 4sin θ/(2+cos θ)- θ is an increasing function of θ in [0,π/2]

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answered Jan 20, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Jan 20, 2018 by sforrest072
 
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We have,

Therefore, y is strictly increasing in interval (0,π/2)

Also, the given function is continuous at 

Hence, y is increasing in interval [0,π/2]

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