Sin65 * cos20-sin65 * sin20 please note that the latter two are sin. I need a process. Thank you

Sin65 * cos20-sin65 * sin20 please note that the latter two are sin. I need a process. Thank you

Simplification?
sin65°*cos20°-sin65°*sin20°
=sin65°*(cos20°-sin20°)
=Radical 2 * sin65 ° * (COS 20 ° * radical 2 / 2 - sin20 ° * radical 2 / 2)
=Root 2 * sin65 ° * (cos20 ° * cos45 ° - sin20 ° * sin45 °)
=Root 2 * sin65 ° * cos65 °
=(radical 2 / 2) * sin130 degree