ࡱ> o ?bjbj ,++4\G,es%!%!%!!CCCe>e>e>e>e>ef3ib>eCBNCCC>e++%!!!SePPPCr+%!!e>eLCCCeCCCCiCCCCCCCCC : Solving Trig Equations 1  SHAPE \* MERGEFORMAT  Solve the following trig equations giving angles in the range  EMBED Equation.DSMT4  to 1 decimal place EquationPrincipal Value (value from calculator)Other QuadrantCast DiagramAll solutions in the range Example:  EMBED Equation.DSMT4    EMBED Equation.DSMT4  3rd SHAPE \* MERGEFORMAT   EMBED Equation.DSMT4 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  5.  EMBED Equation.DSMT4   Solving Trig Equations 2  SHAPE \* MERGEFORMAT  Solve the following trig equations giving angles in the range  EMBED Equation.DSMT4  EquationPrincipal Value (value from calculator)Other QuadrantCast DiagramAll solutions in the rangeExample:  EMBED Equation.3  EMBED Equation.DSMT4   EMBED Equation.DSMT4   3rd SHAPE \* MERGEFORMAT   EMBED Equation.DSMT4 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  5.  EMBED Equation.DSMT4   Solving Trig Equations 3 Solve the following trig equations giving angles in the range  EMBED Equation.DSMT4 , giving your answers to one decimal place EquationWorking outPrincipal Value(s) (from calculator)Cast Diagram (or diagrams)All solutions in the rangeExample  EMBED Equation.DSMT4  EMBED Equation.DSMT4  EMBED Equation.DSMT4  SHAPE \* MERGEFORMAT  EMBED Equation.DSMT4 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  (For this one you will need to do the stages in a different order: principal value first, then cast diagram, then working out) Solving Trig Equations 4 Solve the following trig equations giving angles in the range  EMBED Equation.DSMT4 , giving your answers to 2 decimal places EquationWorking OutPrincipal Value(s) Cast Diagram (or diagrams)All solutions in the rangeExample  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  SHAPE \* MERGEFORMAT   EMBED Equation.DSMT4 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  (Remember to do the stages in a different order for this one.) 4.  EMBED Equation.DSMT4   Trig Equations Extension A Solve the following trig equations for the range given: QuestionWorking outSolution1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  5.  EMBED Equation.DSMT4  6.  EMBED Equation.DSMT4  7.  EMBED Equation.DSMT4  8.  EMBED Equation.DSMT4  9.  EMBED Equation.DSMT4  10.  EMBED Equation.DSMT4   Trig Equations Extension B Solve the following trig equations for the range given: QuestionWorking outSolution1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  5.  EMBED Equation.DSMT4  6.  EMBED Equation.DSMT4  7.  EMBED Equation.DSMT4  8.  EMBED Equation.DSMT4   Solutions to Trig Equation Sheets: 1, 2 and Extension A Sheet 1:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Sheet 2:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Extension A:  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Solutions to Trig Equation Sheets: 3, 4 and Extension B Sheet 3: 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  Sheet 4: 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  Extension B: 1.  EMBED Equation.DSMT4  2.  EMBED Equation.DSMT4  3.  EMBED Equation.DSMT4  4.  EMBED Equation.DSMT4  5.  EMBED Equation.DSMT4  6.  EMBED Equation.DSMT4  7.  EMBED Equation.DSMT4  8.  EMBED Equation.DSMT4  All 1st Cosine 4th Sine 2nd Tan 3rd T S A C  EMBED Equation.DSMT4   EMBED Equation.DSMT4  0  EMBED Equation.DSMT4  1.11 1.11 17.5 17.5 The cast diagram shows you the quadrants in which the named trig functions are positive. In the example below we want the quadrants where sine is negative. Sine is positive in the 1st and 2nd quadrants, so it must be negative in the 3rd and 4th quadrants.  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