math_trig_test_question_1MathtestPaper-1Trigonometry
Questions
Marks
Score
Q-1Find the principal solutions of cotx=3
2
Q-2Find the general solutions of Findgeneralsolutionofcos3x=cos2x
2
Q-3Find the general solutions of sinx+sin3x+sin5x=0
2
Q-4Find the general solutions of cosx-sinx=-1
2
Q-5Findthecartesianco-ordinatesofpoint,whosepolarcoordinatesare(2,Ļ€2)
2
Q-6 Findthepolarco-ordinatesofpoint,whosecartesiancoordinatesare(1,3)
2
Q-7 Find the general solutions of sinx=tanx
2
Q-8 Find the general solutions of sinšœƒ=sinš›¼
3
Q-9 Find the general solutions of cosšœƒ=cosš›¼
3
Q-10 Find the general solutions of tanšœƒ=tanš›¼
3
Q-11Provethatsin2šœƒ=sin2š›¼impliesšœƒ=nšœ‹Ā±š›¼
3
Q12Provethatcos2šœƒ=cos2š›¼impliesšœƒ=nšœ‹Ā±š›¼
3
Q13Provethattan2šœƒ=tan2š›¼impliesšœƒ=nšœ‹Ā±š›¼
3
Answer-1:5šœ‹6,11šœ‹6Answer-2:x=2nšœ‹5orx=2mšœ‹Answer-3:x=nšœ‹3,x=mšœ‹Ā±šœ‹3Answer-4:x=2nšœ‹+šœ‹2,x=2nšœ‹-Ļ€Answer-5:(2,2)Answer-6:(2,šœ‹3)Answer-7:x=nšœ‹orx=2mšœ‹Answer-8:šœƒ=nšœ‹+(-1)nš›¼Answer-9:šœƒ=2nšœ‹Ā±š›¼Answer-10:šœƒ=nšœ‹+š›¼