Find the value of tan 4^{circ} tan 43^{circ} | vedclass

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Question

(A) Given expression: $	an 4^{\circ} 	an 43^{\circ} 	an 47^{\circ} 	an 86^{\circ}$.Using the trigonometric identity $	an(90^{\circ} - 	heta) = \

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$1$

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(A) Given expression: $	an 4^{\circ} 	an 43^{\circ} 	an 47^{\circ} 	an 86^{\circ}$.Using the trigonometric identity $	an(90^{\circ} - 	heta) = \cot 	heta$:$	an 4^{\circ} = 	an(90^{\circ} - 86^{\circ}) = \cot 86^{\circ}$.Similarly,$	an 43^{\circ} = 	an(90^{\circ} - 47^{\circ}) = \cot 47^{\circ}$.Substituting these values into the expression:$(\cot 86^{\circ} 	imes 	an 86^{\circ}) 	imes (\cot 47^{\circ} 	imes 	an 47^{\circ})$.Since $	an 	heta 	imes \cot 	heta = 1$:$1 	imes 1 = 1$.

Find the value of $\tan 4^{\circ} \tan 43^{\circ} \tan 47^{\circ} \tan 86^{\circ}$.

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