यदि sin theta - cos theta = 0 है,तो (sin^4 th | vedclass

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(A) दिया गया है,$\sin 	heta - \cos 	heta = 0$.$\sin 	heta = \cos 	heta \Rightarrow \frac{\sin 	heta}{\cos 	heta} = 1$.$	an 	heta = 1$ $[\becau

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$\frac{1}{2}$

Vedclass · Answer

(A) दिया गया है,$\sin 	heta - \cos 	heta = 0$.$\sin 	heta = \cos 	heta \Rightarrow \frac{\sin 	heta}{\cos 	heta} = 1$.$	an 	heta = 1$ $[\because 	an 	heta = \frac{\sin 	heta}{\cos 	heta}$ और $	an 45^{\circ} = 1]$.$	an 	heta = 	an 45^{\circ}$.$	heta = 45^{\circ}$.अब,$\sin^4 	heta + \cos^4 	heta = \sin^4 45^{\circ} + \cos^4 45^{\circ}$.$= (\frac{1}{\sqrt{2}})^4 + (\frac{1}{\sqrt{2}})^4$ $[\because \sin 45^{\circ} = \cos 45^{\circ} = \frac{1}{\sqrt{2}}]$.$= \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$.

यदि $\sin \theta - \cos \theta = 0$ है,तो $(\sin^4 \theta + \cos^4 \theta)$ का मान क्या होगा?

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