SOLUTION: Evaluate the given function with the following information: sin α = 4/5 (α in the first quadrant) and cos β = -12/13 (β in the second quadrant). tan (β –

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Question 1097724: Evaluate the given function with the following information: sin α = 4/5 (α in the first quadrant) and cos β = -12/13 (β in the second quadrant).
tan (β – α)
Answer by ikleyn(52851)   (Show Source): You can put this solution on YOUR website!
.
1.   =   and    is  in  QI  ====>

     =  =  =  =  =  = 

    and the sign at sqrt is "+" (positive) since cosine is positive in QI.


    ===============>   =  =  = .



2.   =   and    is  in  QII  ====>

     =  =  =  =  =  = 

    and the sign at sqrt is "+" (positive) since sine is positive in QII.


    ===============>   =  =  = .



3.   =  =  =  =  = .

Answer. = .

Solved.


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To see many other similar problems, look into the lessons
    - Calculating trigonometric functions of angles
    - Advanced problems on calculating trigonometric functions of angles
    - Evaluating trigonometric expressions
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Trigonometry: Solved problems".


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Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

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