The value of the expression left[operatorname | vedclass

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(C) Given expression: $E = \operatorname{cosec}(75^{\circ}+	heta) - \sec(15^{\circ}-	heta) - 	an(55^{\circ}+	heta) + \cot(35^{\circ}-	heta)$Using

Vedclass · Accepted Answer

$0$

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(C) Given expression: $E = \operatorname{cosec}(75^{\circ}+	heta) - \sec(15^{\circ}-	heta) - 	an(55^{\circ}+	heta) + \cot(35^{\circ}-	heta)$Using the complementary angle identities $\operatorname{cosec}(90^{\circ}-A) = \sec A$ and $\cot(90^{\circ}-A) = 	an A$:$1$. $\operatorname{cosec}(75^{\circ}+	heta) = \operatorname{cosec}(90^{\circ}-(15^{\circ}-	heta)) = \sec(15^{\circ}-	heta)$$2$. $\cot(35^{\circ}-	heta) = \cot(90^{\circ}-(55^{\circ}+	heta)) = 	an(55^{\circ}+	heta)$Substituting these into the expression:$E = \sec(15^{\circ}-	heta) - \sec(15^{\circ}-	heta) - 	an(55^{\circ}+	heta) + 	an(55^{\circ}+	heta)$$E = 0$Thus,the value of the expression is $0$.

The value of the expression $\left[\operatorname{cosec}(75^{\circ}+\theta)-\sec(15^{\circ}-\theta)-\tan(55^{\circ}+\theta)+\cot(35^{\circ}-\theta)\right]$ is

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