What is sin(2.618) equal to?[Fill in the blank],
In MATLAB, what unit should be used with the sin function?[Fill in the blank],

Question

What is sin(2.618) equal to?[Fill in the blank],
 In MATLAB, what unit should be used with the sin function?[Fill in the blank],

BlackTom AI · Accepted Answer

We are presented with two fill-in-the-blank prompts based on trigonometry and MATLAB usage.

First blank: sin(2.618) equal to?
- The argument 2.618 is in radians unless specified otherwise. In many mathematical contexts, and in MATLAB, angles are expressed in radians by default.
- To estimate sin(2.618) we can compare to a known angle. Note that 5π/6 equals 2.617993... radians, and sin(5π/6) equals 1/2, or 0.5.
- Since 2.618 is extremely close to 5π/6, sin(2.618) is very close to sin(5π/6) = 0.5. With typical rounding, the value is approximately 0.5. Therefore, the fill should be a number around 0.5, likely 0.5 or 0.500 (depending on required precision).

Second blank: In MATLAB, what unit should be used with the sin function?
- MATLAB’s trigonometric functions, including sin, take input in radians by default. If you have degrees, you must convert them to radians before applying sin (e.g., using deg2rad(angle_degrees)).
- Therefore, the correct unit to use with the sin function in MATLAB is radians.

Summary of guidance:
- sin(2.618) ≈ 0.5 when the input is treated in radians. Exact equality would depend on the precision, but it is very close to 0.5 due to 2.618 being nearly 5π/6.
- In MATLAB, always use radians with sin unless you explicitly convert from degrees; the function assumes radians.

14:440:102 ID3EA II 📚Reading Quiz 5: Loops

What is sin(2.618) equal to?[Fill in the blank], In MATLAB, what unit should be used with the sin function?[Fill in the blank],

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