SOLUTION: if sin(alpha) = 0.954 and sin(beta) = 0.306 with both angles' terminal rays in quadrant I. Find the values of sin(alpha + beta) and sin(alpha - beta)

Algebra ->  Trigonometry-basics -> SOLUTION: if sin(alpha) = 0.954 and sin(beta) = 0.306 with both angles' terminal rays in quadrant I. Find the values of sin(alpha + beta) and sin(alpha - beta)      Log On


   

Question 1134237: if sin(alpha) = 0.954 and sin(beta) = 0.306 with both angles' terminal rays in quadrant I. Find the values of sin(alpha + beta) and sin(alpha - beta)
Answer by ikleyn(52792) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  First calculate  cos%28alpha%29 = sqrt%281-sin%5E2%28alpha%29%29.



2.  Then calculate  cos%28beta%29 = sqrt%281-sin%5E2%28beta%29%29.



3.  Then apply trigonometry formulas


    sin(a + b) = sin(a)*cos(b) + cos(a)*sin(b)

    sin(a - b) = sin(a)*cos(b) - cos(a)*sin(b)

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If you want to see many other similar solved 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".


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.