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$\cos A + \cos (240^\circ + A) + \cos (240^\circ - A) = $

$\sin {163^\circ} \cos {347^\circ} + \sin {73^\circ} \sin {167^\circ} = $

જો $\sin \theta = \frac{-12}{13}$,$\cos \phi = \frac{-4}{5}$ અને $\theta, \phi$ ત્રીજા ચરણમાં હોય,તો $\tan(\theta - \phi) =$

$\frac{\cos 10^o + \sin 10^o}{\cos 10^o - \sin 10^o} = $

જો $\cos (\alpha+\beta)=\frac{4}{5}$,$\sin (\alpha-\beta)=\frac{5}{13}$ અને $\alpha, \beta$ એ $0$ અને $\frac{\pi}{4}$ ની વચ્ચે હોય,તો $\tan 2 \alpha$ ની કિંમત શોધો.

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