SOLUTION: For questions 1 through 3, let sin(a) = 4/5 cos(b) = -8/17 1. Find sin(a + b) 2. Find cos(2a) 3. Find cos(b/2) given pi/2 < b < pi 4.Find sin(tan^-1(x) + sin^-1 (3/5))

Algebra ->  Trigonometry-basics -> SOLUTION: For questions 1 through 3, let sin(a) = 4/5 cos(b) = -8/17 1. Find sin(a + b) 2. Find cos(2a) 3. Find cos(b/2) given pi/2 < b < pi 4.Find sin(tan^-1(x) + sin^-1 (3/5))      Log On


   



Question 1142401: For questions 1 through 3, let sin(a) = 4/5 cos(b) = -8/17
1. Find sin(a + b)
2. Find cos(2a)
3. Find cos(b/2) given pi/2 < b < pi
4.Find sin(tan^-1(x) + sin^-1 (3/5))

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

There is  NO ENOUGH  data in the post to find the answers to  n1  and  n2  by an unique way.

It requires additional information :  we should know to which quadrants the angles  "a" and  "b"  do belong.


-----------------

To see similar solved problems on calculating trig functions,  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".


Save the link to this textbook together with its description

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

into your archive and use when it is needed.