Find the value of operatorname{cosec} 750^{ci | vedclass

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Question

(A) We have the expression $\operatorname{cosec} 750^{\circ} - 2 \cot 765^{\circ}$.Using the periodicity of trigonometric functions,$\operatorname{cos

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(A) We have the expression $\operatorname{cosec} 750^{\circ} - 2 \cot 765^{\circ}$.Using the periodicity of trigonometric functions,$\operatorname{cosec}(n 	imes 360^{\circ} + 	heta) = \operatorname{cosec} 	heta$ and $\cot(n 	imes 360^{\circ} + 	heta) = \cot 	heta$.$\operatorname{cosec} 750^{\circ} = \operatorname{cosec}(2 	imes 360^{\circ} + 30^{\circ}) = \operatorname{cosec} 30^{\circ} = 2$.$\cot 765^{\circ} = \cot(2 	imes 360^{\circ} + 45^{\circ}) = \cot 45^{\circ} = 1$.Substituting these values into the expression:$2 - 2(1) = 2 - 2 = 0$.Thus,the correct option is $A$.

Find the value of $\operatorname{cosec} 750^{\circ} - 2 \cot 765^{\circ}$.

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