SOLUTION: if sinx=1/3, secy=5/3. fine the exact values of a) tan(x+y) b) cos (x-y) c) sin^2(x) + cos^2(y) can anyone show me how can i atleast start the question? method? thanks

Question 470625: if sinx=1/3, secy=5/3. fine the exact values of
a) tan(x+y)
b) cos (x-y)
c) sin^2(x) + cos^2(y)
can anyone show me how can i atleast start the question? method?
thanks
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
if sinx=1/3, secy=5/3. fine the exact values of
a) tan(x+y)
b) cos (x-y)
c) sin^2(x) + cos^2(y)
-------------
sin(x) = 1/3

---------
tan(x) = sin(x)/cos(x) = sqrt(2)/4
-----------------
sec(y) = 5/3
cos(y) = 3/5
sin(y) = 4/5
tan(y) = sin(y)/cos(y) = 4/3
------------
a)
=
=
=
= exactly
=~ 3.191
--------------------
b) cos (x-y)
= cos(x)cos(y) + sin(x)sin(y)
=
= exactly
=~ 0.832352
------------
c) sin^2(x) + cos^2(y)
= 1/9 + 9/25
= 106/225

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