SOLUTION: If csc(&#945;) = 3, where 0 < &#945; <&#960; /2, and &#946; is a Quadrant II angle with tan(&#946;) = &#8722;7, find cos &#945; and cos &#946;, sin &#945;and sin &#946; i really

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Question 1113736: If csc(α) = 3, where 0 < α <π /2, and β is a Quadrant II angle with tan(β) = −7, find
cos α and cos β, sin αand sin β
i really need help for this one,please can i have the work so i can understand it ? Thank you
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If csc(A) = 3, where 0 < α <π /2, and β is a Quadrant II angle with tan(β) = −7, find
cos α and cos β, sin αand sin β
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Too hard to read.
Don't use squiggles.
Use A instead of alpha.
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Why should I spend time deciphering this?
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
.
1.  If csc(a) = 3 and the angle "a" is in QI, it implies that


    sin(a) =   and  cos(a) =  =  =  =  = .



2.  If tan(b) = -7  and the angle "b" is in QII, it implies that


    cos^2(b) =  =  =   and  cos(b) = - =  =  = .

    Notice that cos(b) is negative, since "b" is in QII.


    Next, knowing cos(b), you can calculate


    sin(b) =  =  =  = .


Answer.  sin(a) = .  cos(a) = .  sin(b) = .  cos(b) = .



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