By using the formula for the cosine of the difference of two angles, cos 15 degrees= (√2+(√3))/2 (first square root is over whole numerator). Prove that these two quantities are equivalent; i.e., prove (√2+(√3))/2 (first square root is over whole numerator) = (√6+√2)/4. Just like proving identities, you must work with one side only. (Note... it is not acceptable to square a side; i.e., -3 ≠ 3 but 9 = 9.) (trig)

Question

By using the formula for the cosine of the difference of two angles, cos 15 degrees= (√2+(√3))/2 (first square root is over whole numerator). Prove that these two quantities are equivalent; i.e., prove (√2+(√3))/2 (first square root is over whole numerator) = (√6+√2)/4. Just like proving identities, you must work with one side only. (Note... it is not acceptable to square a side; i.e., -3 ≠ 3 but 9 = 9.)  (trig)