frac{cos 13^{circ}-sin 13^{circ}}{cos 13^{cir | vedclass

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(C) Given expression: $\frac{\cos 13^{\circ}-\sin 13^{\circ}}{\cos 13^{\circ}+\sin 13^{\circ}}+\frac{1}{\cot 148^{\circ}}$Divide the numerator and den

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(C) Given expression: $\frac{\cos 13^{\circ}-\sin 13^{\circ}}{\cos 13^{\circ}+\sin 13^{\circ}}+\frac{1}{\cot 148^{\circ}}$Divide the numerator and denominator of the first term by $\cos 13^{\circ}$:$= \frac{1-	an 13^{\circ}}{1+	an 13^{\circ}} + 	an 148^{\circ}$Using the formula $	an(A-B) = \frac{	an A - 	an B}{1+	an A 	an B}$,where $A=45^{\circ}$ and $B=13^{\circ}$:$= 	an(45^{\circ}-13^{\circ}) + 	an(180^{\circ}-32^{\circ})$$= 	an 32^{\circ} - 	an 32^{\circ} = 0$

$\frac{\cos 13^{\circ}-\sin 13^{\circ}}{\cos 13^{\circ}+\sin 13^{\circ}}+\frac{1}{\cot 148^{\circ}}$ is equal to

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