Inverse'Trig'Worksheet'1) Evaluate'the'following:'

arcsin 22

⎛⎝⎜

⎞⎠⎟'' ' ' ' ' ' ' ' arccos 3

2⎛⎝⎜

⎞⎠⎟'

'''

arccos − 12

⎛⎝⎜

⎞⎠⎟ ' ' ' ' ' ' ' ' arcsin − 3

2⎛⎝⎜

⎞⎠⎟'

''''arctan 3( ) ' ' ' ' ' ' ' ' arctan −1( ) ''''''

sin arcsin 25

⎛⎝⎜

⎞⎠⎟

⎛

⎝⎜⎞

⎠⎟' ' ' ' ' ' ' cos arcsin 3

5⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟'

'''''arccos cos π

6⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟' ' ' ' ' ' ' arccos cos 11π

6⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟'

'''''

arccos sin π6

⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟' ' ' ' ' ' ' arccos sin arccos sin 17π

6⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟

⎛

⎝⎜⎞

⎠⎟'

'''''arctan sin − π

4⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟' ' ' ' tan arcsin cos π

2⎛⎝⎜

⎞⎠⎟ + sin

π2

⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟+ arccos tan − π

4⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟

⎛⎝⎜

⎞⎠⎟'

' '

2) Simplify'the'following.'Your'answer'should'not'have'any'trig'or'inverse'trig'functions'in'it:''tan arcsin x( ) '''''''''tan2 arcsin x( )− csc2 arcsin x( ) '''''''''''''3) Find'a'solution'to'the'following'equations:''4sin2 3x +π( ) = 3 '''''''''4sin2 3x +π( ) = 3 ''''''''''2sin2 2x +π( ) + 2sin 2x +π( )−1= 0 '''