Trigonometry: Inverses of Trigonometric Functions

(1) Evaluate exactly tan(Arccos 2/3 ).

(2) Evaluate exactly cos(Arcsin 1 + Arccos 1/2 ).

(3) Determine arcsin (1/v 2) . Careful: that is arcsin and not Arcsin, so there are going to be infinitely

many answers. You need to give all of them.

(4) Evaluate exactly sin( 1/2Arcsin4/5 ).

(5) Use a calculator to determine Arctan 10 in radians to two decimal places.

(6) (Bonus question: worth up to 10 points.) True or False: Arcsin x Arccos x = Arctan x? (Either show this

is an identity, or prove it is not an identity by showing the two sides are not equal for some particular

choice of x.)

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