Find the Exact Value arccos(14/15)

Problem

arccos(14/15)

Solution

1. Identify the nature of the expression. The expression arccos(14/15) represents the angle θ in the interval [0,π] such that cos(θ)=14/15

2. Check for standard values. The value 14/15 is not a coordinate from the standard unit circle (such as 0,1/2,√(,2)/2,√(,3)/2,1.

3. Determine if further simplification is possible. Since 14/15 is not a standard trigonometric ratio and there are no other operations or identities to apply, the exact value is expressed in its inverse trigonometric form.

Final Answer

arccos(14/15)=arccos(14/15)

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