1) Simplifying the expression:1+2sin(a)cos(a)-cos²(a)+sin²(a) / sin(a)+cos(a)1+sin(2a)-cos²(a)+sin²(a) / sin(a)+cos(a)1+sin(2a)-(cos²(a)-sin²(a)) / sin(a)+cos(a)1 + sin(2a) - cos(2a) / sin(a) + cos(a)
Final simplified expression: 1 + sin(2a) - cos(2a) / sin(a) + cos(a)
2) Simplifying the expression:sin(ф) / 1 - cos(ф) - tan(ф)sin(ф) / sin²(ф) - cos(ф)sin(ф) / sin²(ф) - 1 + sin²(ф)sin(ф) / sin(ф)(sin(ф) - cos(ф))1 / (sin(ф) - cos(ф))
Final simplified expression: 1 / (sin(ф) - cos(ф))
1) Simplifying the expression:
1+2sin(a)cos(a)-cos²(a)+sin²(a) / sin(a)+cos(a)
1+sin(2a)-cos²(a)+sin²(a) / sin(a)+cos(a)
1+sin(2a)-(cos²(a)-sin²(a)) / sin(a)+cos(a)
1 + sin(2a) - cos(2a) / sin(a) + cos(a)
Final simplified expression: 1 + sin(2a) - cos(2a) / sin(a) + cos(a)
2) Simplifying the expression:
sin(ф) / 1 - cos(ф) - tan(ф)
sin(ф) / sin²(ф) - cos(ф)
sin(ф) / sin²(ф) - 1 + sin²(ф)
sin(ф) / sin(ф)(sin(ф) - cos(ф))
1 / (sin(ф) - cos(ф))
Final simplified expression: 1 / (sin(ф) - cos(ф))