Transcription of Trig. Past Papers Unit 2 Outcome 3
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Trig. Past Papers Unit 2 Outcome 3
Outcome3 WrittenQuestions1.[SQA]Solvetheequation3 cos2x +cosx = 1 intheinterval0 x [SQA]Solvetheequationcos2x +5 cosx 2=0 , 0 x< [SQA]Findtheexactsolutionsoftheequation4 sin2x=1 , 0 x< [SQA]Solvetheequation2 cos2x=12, for0 x [SQA]Solvetheequationcos2x +cosx =0 , 0 x< [SQA]Solve2 sin3x 1=0 for0 x [SQA](a) Showthat2 cos2x cos2x =1 3 sin2x .2(b) Hencesolvetheequation2 cos2x cos2x =2 sinx intheinterval0 x< [SQA]Solvetheequationsin2x +sinx =0 , 0 x< [SQA]Find,correcttoonedecimalplace,theva lueofxbetween180and270whichsatis estheequation3 cos(2x 40 ) 1=0 .510.[SQA](a) Writetheequationcos2q+8 cosq+9=0 intermsofcosqandshowthat,forcosq, it (b) Showthatthere are PSfragreplacementsOxyPage 1 Questionsmarked `[SQA]'c SQAAll othersc HigherStill NotesHigherMathematicsPSfragreplacements Oxy11.
Higher Mathematics PSfrag replacements O x y Trig. Past Papers Unit 2 Outcome 3 Written Questions [SQA] 1. Solve the equation 3cos2x +cos x = 1 in the interval 0 x 360. 5 [SQA] 2. Solve the equation cos2x +5cos x 2 = 0, 0 x < 360. 5 [SQA] 3. Find the exact solutions of the equation 4sin2 x = 1, 0 x < 2p. 4 [SQA] 4. Solve the equation 2cos2 x = 1 2, for 0 x p. 3 [SQA] 5. Solve the equation ...
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