Find the Exact Value cos(43)

Problem

cos(43^∘)

Solution

1. Identify the task as finding the exact trigonometric value of the cosine of 43 degrees.

2. Determine if the angle is a standard angle (such as 0^∘ 30^∘ 45^∘ 60^∘ or 90^∘ or a multiple of standard angles that can be expressed using sum, difference, or half-angle formulas.

3. Analyze the number 43. Since 43 is a prime number and not a multiple of 3^∘ (which would allow for an expression in radicals), it cannot be expressed in a simpler exact form using standard algebraic radicals.

4. Conclude that the expression cos(43^∘) is already in its simplest exact form.

Final Answer

cos(43^∘)=cos(43^∘)

Want more problems? Check here!