Find the Exact Value sin(6/10)

Problem

sin(6/10)

Solution

1. Simplify the fraction inside the sine function by dividing the numerator and the denominator by their greatest common divisor, which is 2

6/10=3/5

2. Rewrite the expression using the simplified fraction.

sin(3/5)

3. Identify if the argument corresponds to a standard angle on the unit circle. Since 3/5 radians (approximately 34.38 is not a standard angle like π/6 or π/4 the exact value is represented by the expression itself.

Final Answer

sin(6/10)=sin(3/5)

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