To solve this equation, we can use the sum-to-product identities for cosine:
cos(20 + x) + cos(100 - x) = 1/22cos((20 + x + 100 - x)/2)cos((100 - x - 20 + x)/2) = 1/22cos(60)cos(40) = 1/22(1/2)(√3/2) = 1/2√3/2 = 1/2
Therefore, there is no solution to the equation cos(20 + x) + cos(100 - x) = 1/2.
To solve this equation, we can use the sum-to-product identities for cosine:
cos(20 + x) + cos(100 - x) = 1/2
2cos((20 + x + 100 - x)/2)cos((100 - x - 20 + x)/2) = 1/2
2cos(60)cos(40) = 1/2
2(1/2)(√3/2) = 1/2
√3/2 = 1/2
Therefore, there is no solution to the equation cos(20 + x) + cos(100 - x) = 1/2.