Inverse Trig Worksheet 1) Evaluate the following: ⎛ 2⎞
arcsin ⎜
⎝ 2 ⎟⎠
⎛ 3⎞
arccos ⎜
⎝ 2 ⎟⎠
⎛ 1⎞
arccos ⎜ − ⎟ ⎝ 2⎠
arctan
( 3 ) ⎛
3⎞
arcsin ⎜ −
⎝ 2 ⎟⎠
arctan ( −1) ⎛
⎛ 3⎞ ⎞
cos ⎜ arcsin ⎜ ⎟ ⎟ ⎝ 5⎠⎠
⎝
⎛
⎛ 11π ⎞ ⎞
arccos ⎜ cos ⎜
⎝ 6 ⎟⎠ ⎟⎠
⎝
⎛ ⎛
⎛ ⎛ 17π ⎞ ⎞ ⎞ ⎞
arccos ⎜ sin ⎜ arccos ⎜ sin ⎜
⎝ ⎝ 6 ⎟⎠ ⎟⎠ ⎟⎠ ⎟⎠
⎝ ⎝
⎛
⎛
⎛ ⎛ π ⎞⎞⎞
⎛π⎞
⎛ π ⎞⎞
tan ⎜ arcsin ⎜ cos ⎜ ⎟ + sin ⎜ ⎟ ⎟ + arccos ⎜ tan ⎜ − ⎟ ⎟ ⎟ ⎝ 2⎠
⎝ 2⎠⎠
⎝
⎝ ⎝ 4⎠⎠⎠
⎝
⎛
⎛ 2 ⎞⎞
sin ⎜ arcsin ⎜
⎟ ⎝ 5 ⎟⎠ ⎠
⎝
⎛
⎛ π ⎞⎞
arccos ⎜ cos ⎜ ⎟ ⎟ ⎝ 6⎠⎠
⎝
⎛ ⎛ π ⎞⎞
arccos ⎜ sin ⎜ ⎟ ⎟ ⎝ ⎝ 6⎠⎠
⎛ ⎛ π ⎞⎞
arccos ⎜ sin ⎜ − ⎟ ⎟ ⎝ ⎝ 4⎠⎠
2) Simplify the following. Your answer should not have any trig or inverse trig functions in it: tan ( arcsin x ) tan 2 ( arcsin x ) − sec 2 ( arcsin x ) 3) Find a solution to the following equations: 4 sin 2 ( 3x + π ) = 3 2sin 2 ( 2x + π ) − sin ( 2x + π ) − 1 = 0