Find the Exact Value sin(80)

Problem

sin(80)

Solution

1. Identify the given expression as the sine of an angle measured in degrees, sin(80)

2. Determine if the angle is a standard reference angle (such as 0 30 45 60 or 90. Since 80 is not a standard angle, its exact value cannot be expressed using simple square roots or rational numbers.

3. Express the value using the sine function or related trigonometric identities if required. In most mathematical contexts, the exact value of sin(80) is simply written as sin(80) or cos(10) using the cofunction identity.

4. Note that while there are complex radical expressions for angles that are multiples of 3 80 does not fall into that category for a simple radical form.

Final Answer

sin(80)=sin(80)

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