SOLUTION: Find the exact value of sin​(α−β​) if sin α= 12/13 and sin β= 5/13 and α and β are between 0 and π​/2 sin​(α

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Question 1051560: Find the exact value of sin​(α−β​) if sin α= 12/13 and sin β= 5/13 and α and β are between 0 and π​/2
sin​(α−β​)=?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
= sin%28alpha%29%2Acos%28beta%29+-+cos%28alpha%29%2Asin%28beta%29 = 

= %2812%2F13%29%2A%2812%2F13%29+-+%285%2F13%29%2A%285%2F13%29 = %28144-25%29%2F169 = 119%2F169.

For details, see the lesson
    - Advanced problems on calculating trigonometric functions of angles, Problem 1
in this site.

You will find there the detailed solution of the similar problem.

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

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

You will find many other closely related problems under this topic.