SOLUTION: Given that SinA = 3/5 and CosB = 5/13 where A and B are both in quadrant 1. Find Sin(A+B), Cos(A+B), and Tan(A+B). I think I have it, just need to verify.

Algebra ->  Trigonometry-basics -> SOLUTION: Given that SinA = 3/5 and CosB = 5/13 where A and B are both in quadrant 1. Find Sin(A+B), Cos(A+B), and Tan(A+B). I think I have it, just need to verify.      Log On


   

Question 1073681: Given that SinA = 3/5 and CosB = 5/13 where A and B are both in quadrant 1. Find Sin(A+B), Cos(A+B), and Tan(A+B). I think I have it, just need to verify.
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.
Since you need to verify only, I will be short.


sin(A + B) = %283%2F5%29%2A%285%2F13%29+%2B+%284%2F5%29%2A%2812%2F13%29 = 15%2F65+%2B+48%2F65 = 63%2F65


cos(A + B) = %284%2F5%29%2A%285%2F13%29+-+%283%2F5%29%2A%2812%2F13%29 = 20%2F65+-+36%2F65 = -16%2F65


tan(A + B) = -63%2F16.

If you want more details, see the lessons
    - Calculating trigonometric functions of angles
    - Advanced problems on calculating trigonometric functions of angles
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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Comment from student: I did have it correct! Thank you so much!
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My response: I am glad to hear it !

I am glad for myself too !!