I need some help with questions 5-10 http://locker.palcs.org/~jbaskwill/pc/5-3practice.PDF

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I need some help with questions 5-10 http://locker.palcs.org/~jbaskwill/pc/5-3practice.PDF

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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It has to do with Sum and Difference Identities in Pre-Calc
no 5 -> we know that cosx cosy+sinx siny = cos(x-y) therefore cos133 cos58+ sin133 sin58 = cos(133-58) = cos75 the answer is B
6) sinx cosy +cosx siny = sin(x+y) sin(π/5) cos(π/11) +sin(π/11) cos(π/5) = sin(π/5 + π/11) = sin(16π/55) answer : D

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7) (tanx - tany)/(1+tanx tany) = tan(x-y) so the answer is tan 48
thank you soo much. you helped a lot!
you're welcome, sorry i can't help for number 8-10
its ok
i can help with 9 and 10, you need to use the sum and difference formulas 9) Notice its a sin function because it crosses the x-axis around x=2 meaning the sin function has been shifted to the right 2 units. Now use y = sin(x+(-2)) = sin(x)cos(-2) +cos(x)sin(-2) 10) This one is a cosine function because at x=3 it starts a new period at 1 so the cosine function has been shifted right 3 units. So y = cos(x+(-3)) = cos(x)cos(-3) - sin(x)sin(-3)
thank you

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