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જો $A + B + C = 180^o$ હોય,તો $\sum \tan \frac{A}{2} \tan \frac{B}{2} = $

$\sin(x + \pi/6) + \cos(x + \pi/6)$ ની મહત્તમ કિંમત $x =$ પર મળે છે.

જો $\alpha+\beta+\gamma=2 \theta$ હોય,તો $\cos \theta+\cos (\theta-\alpha)+\cos (\theta-\beta)+\cos (\theta-\gamma)$ ની કિંમત શોધો.

$\Delta ABC$ માં,$\frac{\sum \cot^2 \frac{A}{2} \cot^2 \frac{B}{2}}{\prod \cot^2 \frac{A}{2}}$ નું ન્યૂનતમ મૂલ્ય શું છે?

જો $5 \sin \theta + 3 \cos \left(\theta + \frac{\pi}{3}\right) + 3$ એ $\alpha$ અને $\beta$ ની વચ્ચે હોય ($\alpha, \beta$ સહિત),તો $(\alpha - \beta)(\alpha + \beta - 6) = $

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