Find the Exact Value cos(46)

Problem

cos(46)

Solution

1. Identify the task as finding the exact trigonometric value of cos(46)

2. Determine if the angle 46 is a standard reference angle (such as 0,30,45,60,90 or a multiple of one.

3. Analyze the angle for possible decomposition using sum, difference, or half-angle formulas. The angle 46 cannot be expressed as a simple combination of standard angles using rational numbers or square roots.

4. Conclude that since 46 is not a standard angle and cannot be simplified into an exact radical form using basic trigonometric identities, the exact value is represented by the expression itself.

Final Answer

cos(46)=cos(46)

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