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Find cos(2a+b) given that a = sin^ -1 (4/5) and b = tan^ -1 (12/5). 

***a is alpha and b is beta***  

im not sure how to put a picture or else i would lol 

 Feb 22, 2023
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The value of cos(2a + b) can be found by using the double angle formula, which states that cos(2a + b) = 2cos^2(a) - 1 + 2cos(a)sin(b). Substituting a = sin^(-1)(4/5) and b = tan^(-1)(12/5) gives us cos(2a + b) = 2(4/5)^2 - 1 + 2(4/5)sin(tan^(-1)(12/5)) = 14/25.

 Feb 22, 2023

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