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.)