If A, B, C are angles of a triangle such that x = operatornamecis A, y = operatornamecis B, z = operatornameci

Question 3 of 19

A, B, C

Yanam BieapBIEAP Intermediate Board 2018Subjective· 2mImportance★★★★★

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$xyz = \operatorname{cis}(A+B+C)$ , and since $A+B+C=\pi$ for a triangle, this equals $\operatorname{cis}\pi = -1$ .

Given $x=\operatorname{cis}A$ , $y=\operatorname{cis}B$ , $z=\operatorname{cis}C$ . Using the product rule $\operatorname{cis}\theta_1\cdot\operatorname{cis}\theta_2 = \operatorname{cis}(\theta_1+\theta_2)$ : …

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Q.If $A, B, C$ are angles of a triangle such that $x = \operatorname{cis} A$ , $y = \operatorname{cis} B$ , $z = \operatorname{cis} C$ , then find the value of $xyz$ .

Concept understanding — Complex Numbers

Q.If A,B,CA, B, CA,B,C are angles of a triangle such that x=cis⁡Ax = \operatorname{cis} Ax=cisA, y=cis⁡By = \operatorname{cis} By=cisB, z=cis⁡Cz = \operatorname{cis} Cz=cisC, then find the value of xyzxyzxyz.

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Q.If $A, B, C$ are angles of a triangle such that $x = \operatorname{cis} A$ , $y = \operatorname{cis} B$ , $z = \operatorname{cis} C$ , then find the value of $xyz$ .

Unlock everything free for 14 days