Answer Happy

Simplify without using a calculator: 1. sin-¹1 - sin-¹ (-1) 4. sec-¹2 sec-¹√2 7. sec(tan-12) 10. cos (2 arcsin 0,3) 2. tan-¹1 - tan-¹ (-1) 5. sin-1 + cos-¹ 8. cos (2 tan-12) 11. tan (2 arcsec √5)
Make r the subject of the formula: 13. 0 = sin-¹√√1 - r² 14. = arcsin √1 - er Prove that: 16. 2 arcs in = arccos 31 49 Hint: Let x = arcsin and then prove that 15. arctan er = 31 49 cos 2x = 113