Verified Answer :

Answer:Therefore, x≈−0.394x≈−0.394rad and y≈πy≈πrad.

Step-by-step explanation:

To find the value of xxand yy, we can use the given trigonometric ratios and their corresponding trigonometric functions.Given:sin⁡(x)=−513sin(x)=−135​ where π≤x≤3π2π≤x≤23π​cos⁡(y)=−45cos(y)=−54​ where π2≤y≤π2π​≤y≤πLet's find the values of xxand yyusing inverse trigonometric functions:For xx: sin⁡−1(−513)=xsin−1(−135​)=xx≈−0.394 radx≈−0.394 radSince π≤x≤3π2π≤x≤23π​, the value of xxfalls within the given range.For yy: cos⁡−1(−45)=ycos−1(−54​)=yy≈πy≈πSince π2≤y≤π2π​≤y≤π, the value of yyfalls within the given range.Therefore, x≈−0.394x≈−0.394rad and y≈πy≈πrad.

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