Why do we split sin(5 /12) into ( /4+ /6) while solving their value though it does not add up - Maths - Trigonometric Functions

Question

Why do we split sin(5?/12) into (?/4+?/6) while solving their value
though it does not add up to form 5?/12 rather it's adds up to give
10?/12?

Rashmi Srivastava · Accepted Answer

Why do we split sin(5?/12) into (?/4+?/6) while solving their value though it does not add up to form 5?/12 rather it's adds up to give 10?/12?