Find the Exact Value sin(8/10)

Problem

sin(8/10)

Solution

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

8/10=4/5

2. Rewrite the expression using the simplified fraction.

sin(4/5)

3. Identify if the argument corresponds to a standard angle on the unit circle. Since 4/5 radians (approximately 45.84 is not a standard angle like π/6 π/4 or π/3 the exact value is represented by the function itself.

Final Answer

sin(8/10)=sin(4/5)

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