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Chapter 21: Problem 5

If \(z=f(x, y)=\sin (x+y)\) find \(f\left(20^{\circ}, 30^{\circ}\right)\) where the inputs are angles measured in degrees.

Short Answer

Expert verified
Answer: The value of the function is approximately 0.766.

Step by step solution

01

Add the angles

Add the given angles \(x = 20^\circ\) and \(y = 30^\circ\): \(x + y = 20^\circ + 30^\circ = 50^\circ\)
02

Compute the sine

Now use the sine function to calculate the value of the function for the combined angle, \(50^\circ\): \(z = f(20^\circ, 30^\circ) = \sin(50^\circ) \approx 0.766\) So \(f\left(20^{\circ}, 30^{\circ}\right) \approx 0.766\).

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