Write a possible equation f(2)=0, f(-3)=0

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Ответ:

AshBorg

31.05.2021

Mathematics

See explanation

Step-by-step explanation:

We have to prove the identity

$tan(\frac{\Theta }{2})=\frac{sin\Theta}{1+cos\Theta }$

We will take right hand side of the identity

$\frac{sin\Theta}{1+cos\Theta}=\frac{2sin(\frac{\Theta }{2})cos(\frac{\Theta }{2})}{1+[2cos^{2}(\frac{\Theta }{2})-1]}$

$=\frac{2sin(\frac{\Theta }{2})cos(\frac{\Theta }{2})}{2cos^{2}(\frac{\Theta }{2})}=\frac{sin(\frac{\Theta }{2})}{cos(\frac{\Theta }{2})}$

$=tan(\frac{\Theta }{2})$ [ Tan θ will be positive since θ lies in 1st quadrant ]

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