Trigonometry

Higher Mathematics Unit 2 – Mathematics 23x− 20 = 59·036 or 239·036 or 419·036or 599·036 or 779·036 or 959·0363x= 79·036 or 259·036 or 439·036or 619·036 or 799·036 or 979·036x = 26·35 or 86·35 or 146·35 or 206·35 or 266·35 or 326·359. Solve ( x π3 )( x π)cos 2 + = 0·812 for 0 < x < 2π.cos 2 + 3 = 0·812 S A ̌0 < x < 2πT C ̌0 < 2x< 4ππ < + π < π + π3 2x3 4 31·047 < 2x+ π3 < 13·614 (to 3 d.p.)12x π −+ 3 = cos ( 0·812 )RememberMake sure your= 0·623calculator uses radians2x+ π3 = 0·623 or 2π− 0·623or 2π + 0·623 or 2π + 2π− 0·623or 2π + 2π + 0·623 or 2π + 2π + 2π− 0·6232x+ π . . . .3 = 5 660 or 6 906 or 11 943 or 13 1892x= 4. 613 or 5. 859 or 10. 896 or 12.142x = 2. 307 or 2. 930 or 5. 448 or 6.0712 Trigonometry in Three DimensionsSolving problems in three dimensions uses the same techniques as in twodimensions. The use of sketches in solutions to these problems is advised.The angle between a line and a planeThe angle a between the plane P and the line ST is calculated by drawing aline perpendicular to the plane and then using basic trigonometry.TPaShsn.uk.netPage 93HSN22300