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Identities
Bonus!
Problems
Sum and Difference Formulae
Multiple Angle Formulae
100
This reciprocal identity equals 1/secu
What is cosu
100
Do you want candy?
What is yes
100
Simplify sinxcos^2x-sinx
-sin^3x
100
This is equal to sin(u+v)
What is sinucosv+cosusinv
100
this double-angle formula equals sin2u
What is 2sinucosu
200
This quotient identity equals cosu/sinu
What is cotu
200
Do you not want candy?
What is no
200
Factor csc^2x-cotx-3
(cotx-2)(cotx+1)
200
this is equal to cos(u+v)
What is cosucosv-sinusinv equal to?
200
this Half-angle formula equals cos(u/2)
What is ±√(1+cosu/2)?
300
This cofunction identity equals sinu
What is cos((pi/2)-u)
300
Don't you not want candy?
What is no
300
Solve 3tan^2x-1=0
x=(pi/6)+npi and x=(5pi/6)+npi
300
This is equal to cos(u-v)
What is cosucosv+sinusinv equal to?
300
This half-angle formula equals tan(u/2)
What is (1-cosu)/sinu or sinu/(1+cosu)
400
this even/odd function equals secu
What is sec(-u)
400
Who created the powerpoint?
What is James
400
Find all solutions of sin(x+(pi/4))+sin(x-(pi/4))=-1
x=5pi/4 and x=7pi/4
400
This is equal to tan(u+v)
What is (tanu+tanv)/(1-tanutanv) equal to?
400
This double-angle formula equals tan2u
What is =(2tanu)/(1-tan^2)?
500
This pythagorean identity equals csc^2u
What is 1+cot^2u
500
T̢̂̅̽́ͯͫ͏̠̮̼̟͈͈͟ḧ͌̓ͪͪ̉̾̂̅͂͌̂̔͏̀҉̭̣̳̮͔͉͖̱͔̟̗̠͈̝̕i̵̠̜̙̦̱̜̯͕̱̫̦̮̙̺ͨ̊̒̅͐̈ͦͯ̃͆ͭ̅ͬͧͥs̛͈̯̳̰̻̄͛̀͒ͮ̏͒̌͆̏͊ͬ̈ͣ́͢͞ ̧̨̧͖̘̫̗̲̻̯̪̲ͪ͌̓̾͒͑̃̏̏̾̀̏̂͒̀͛̀i̵̮̻̤̖͈̗͉͙͇͉ͩ͗͒̾ͭ̇̎͐̏͑ͬ͌̓̿͊͢͜s̷̸̴̢̘̺͎͎̥̗̮̭̞͔̬͙̐̌̽ͮͨͨͨ̈́́̌̍̊̓ͣͣ̂ͬ̋͝ ̧̯̙͚͓͚͉̻̫̱̯̎̇ͯ͗͗̔̓ͦͪ̐ͪ̑͗̾̊͐̕͢w̴̨͈̪͉̪͍͍̠̬̪̑̄̎ͯ̽ͧ̀͐́̚͘͟h̨̩͓̼̺̻͕͐ͪ̓ͭ̏͑̓ͤ͂̋͋̓͡͝a̸̙̻̰̘͕̩͙̗̜̟̪̜̦̓ͣ̌̐͐ͨͥ̌̑͠ͅt̵͍̥̣͈̥͈͙̳̫͙͋̎̏̽ͭ̂ͩ̓̽͗͊͐͝ ̷̹̜̫͔̖̳̤͖̾ͭͨͧͤ͒ͤ̍ͧ̉̓̅̂͒̚͞h̴̵̩͓͈͓͚̩̾ͦ̏ͭͧ͂ͭ̍̑̆̚͝a̶̛̙͉̯̘͔̤̺̥̦̗̲ͩ̆̃̑̐̋̌͌̉͑ṕ̢̢̘͎̜͛̉͂͗̽ͬ͞p̼͇̪̻̠̩̫̞͓̪͍̰̗̬̬̪ͯͮ͌͌̽ͭ̀́͝͝ė̡̢̢̛̗̙̳̭̜͉͚̠͓̳̼̮͆̅ͩͫͣ͆ͥ̇̌̽͟n̸̥̬͚̪̭͕̞͖͍̲̥͊͋ͭ̄͆͋̒̾̈̑́͞s̪̫̹̲̭̞̼͚̖͓͔͈͉̭̗̙̰̲̋͊͌͛̔͆ͦͧͫ̀̊̍ͩ̆͂ͮ͟͝ͅ ̡́̎͛́̏͂͌͒ͣ̿̏̈̂̊̉͟͏̼̮̟̯̥̟̲͟w̡̜͈͙̦̪͍̯̥̱̤̠̜̣̲̏̄̃̈͒̉͐̿̋ͧͫ͢͟h̷̷̩̲̝̺̙͕̯̱̞͌ͥ̽͋̓ͯͧͯͯ͟e̷̷̢̛̹̫̞̖͖̹̞̩̼̥͍̅͛͐̍ͬͨ̅ͣ͊̕ͅnͣ̌̿͗҉͏̯͕̺͉̲̮̹̗̫̤̖͎̼́͜ ̵̢̯̜͈̞̫̤̖͉̱͉̤̥͉̘̮͕̑ͫ͂̑ͦ̈́̓͊ͤ̏ͮ͆͝͡y̨̠̩̼͎̱̜ͬ̊͆ͦͦͣͥͩ̐́̽̍͑̈́ͦ̈͘o̶̡̓̔̽ͧͮ̽̑ͬ͑ͥ̆͋̐̓ͫ̒̿̚͏̱̘̭͓̘͍͙̮̩̘̺̠ų̴̷̬̫͕̪̟̜ͯ̈̐ͥͨ̔̈̐͗ͤͤ͑͂̿͆ͮ̿̽́ ̸̠̩̞͎̟̤̬̺̜̥̳̓̇̈́̒̊̃́̏ͤͬ̔̽̓̄̉͘͜ͅd̷̡̡̦̳̲͎̰͔̬̅̏ͫ̽͂̓̄ͫ̿ͫ͊̂̓͒̚ͅi͚͖͕̳̣̝̮̖̥̭̥̬̖͎̯͐ͭ̽ͩ͒̀́͢͢͜v̹̼͍̠͌͛͑͋ͬ̅̌͑ͯ̐ͮ́̃̿ͮ̕͞iͯ͐̽͆͋̇̔ͨ̐̇͘͏̛̣̗͙̯͇͉͎̘̱̠͢ͅd̶̵̢̛̥̹͓͉̹̠̩͇͔̦̹̫̤͎ͯͦ̾ͯ͐ͦ̄͗ͦ̀́ͅeͯ̎̉͛͆͂̓ͪ͗ͤ҉͈̣̥̖͉͔̣͇̭̥̮̀͘ ̨̧̙̻͖͇̞̖̻͇͎̬̯͍̹͔̞̳ͣ̔͑ͬ̈͒̏ͧ̑̔̽̏̀͘͢ͅb̢̘͙͕̻̘̠̬͈͕̣͈̬͈̜̞̤͎̱̙͋͋̆͆̍ͣ́̏̋̍͛̈͒͘͘͜͢ỳ̟̙̼̹͖̦͕̦͙̤̞̲̗͙̥͂̐͋͆̅́̍̐ͤ̓ͥ͋͘͘͜ͅ ̶̤͙͙̻̙̺̣̬̥̲̝̮ͥ̐̋͆ͭͧͧ́͝Z̴̧̫͙̠̥̪͖̱̭̪̟̦̩͍̰̠͖̤̃̾͂̏̋̏ͭ͆̉͆̿̅̏̿́͘͠Ȩ̸̭̙͔̗͔̳͎̳̫̳́͋͂̇̓̇̃͑̔̿̔͘R̶̢̗̳͖̰̻͉̠͔̱͓̝̃̊̑ͪ̐ͮ̅̄̎ͬ̽̒̀̂ͩ͝͠O̮̪̣̮͈̎̃̿̔̔̂ͦ͌ͩ̔ͣ̏͌͒ͭ̂̚͟͞
x/0
500
Find the exact value of cos195°+cos105°
-(√6)/2
500
This equals tan(u-v)
What is (tanu-tanv)/(1+tanutanv) equal to?
500
These three solutions equal cos2u in the double-angle formulae.
What is cos2u=cos^2u-sin^2u = 2cos^2u-1 =1-2sin^2u