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March 28, 2017

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Give: a=alpha B=beta
csc a= 2
pi/2<a<pi
secB=-3
pi/2<B<pi

1)find sin(a+B)
2)find tan(a-B)
3)cos B/2
4)sin a/2

  • Trig - ,

    in QII,

    if csc a = 2,
    sin a = 1/2
    cos a = -√3/2
    tan a = -1/√3

    if sec B = -3,
    cos B = -1/3
    sin B = √8/3
    tan B = -√8

    Now it's just plug and chug, using your sum-of-angles and half-angle formulas. Come on back if you get stuck.

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