Solve the equation for x in terms of y if 0&lt;x&lt;π and 0&lt;y&lt;π. sin⁡x3=sin⁡y4

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Solve the equation for x in terms of y if 0&amp;lt;x&amp;lt;π and 0&amp;lt;y&amp;lt;π. sin⁡x3=sin⁡y4

broliY · Accepted Answer

Step 1 An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions. The most basic and common algebraic equations in math consist of one or more variables. Step 2 The given equation is sin⁡(x3)=sin⁡(y4), where 0&amp;lt;x&amp;lt;π,0&amp;lt;y&amp;lt;π. Implies that 0&amp;lt;x3&amp;lt;π3,0&amp;lt;y4&amp;lt;π4. Both the terms x3,y4 are in first co-ordinate. Solve the given equation by equating the terms inside the sin as follows; sin⁡(x3)=sin⁡(y4) sin⁡(x3)=sin⁡(y4) x3=y4 .................. Equate the terms inside the sin as both the values are in first co-ordinate. 3×x3=3×y4 ............ Multiply both sides by 3. x=34y Hence, the equation of x in terms of y is x=34y.

Solve the equation for x in terms of y if 0<x<\pi and 0<y<\pi.P

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