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જો $ABC$ એ કાટકોણ ત્રિકોણ ન હોય અને $\sin \left(\frac{\pi}{4}-A\right) \sin \left(\frac{\pi}{4}-B\right) = -\frac{1}{2 \sqrt{2}} \operatorname{cosec}\left(\frac{\pi}{4}-C\right)$ હોય,તો $\tan A \tan B + \tan B \tan C + \tan C \tan A = $

$(cos^{2}\theta - 6sin\theta cos\theta + 3sin^{2}\theta + 2)$ ની ન્યૂનતમ કિંમત શોધો:

જો $\cos \left( \frac{\alpha - \beta}{2} \right) = 2\cos \left( \frac{\alpha + \beta}{2} \right)$ આપેલ હોય,તો $\tan \frac{\alpha}{2} \tan \frac{\beta}{2}$ ની કિંમત શોધો.

જો $P+Q+R=\frac{\pi}{4}$,હોય તો $\cos \left(\frac{\pi}{8}-P\right)+\cos \left(\frac{\pi}{8}-Q\right)+\cos \left(\frac{\pi}{8}-R\right)=$

જો $x \in R$ માટે $f(x) = \sin^6 x + \cos^6 x$ હોય,તો $f(x)$ કયા અંતરાલમાં આવે છે?

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