Consider the expression. (1+cos‌10°)+(cos‌20°+cos‌30°) It is solved as, (1+cos‌10°)+(cos‌20°+cos‌30°)=2cos25°+2‌cos‌25°‌cos‌5° =2‌cos‌5°(cos‌5°+cos‌25°) =2‌cos‌5°(2‌cos‌15°‌cos‌10°) =4‌cos‌5°‌cos‌15°‌cos‌10°