If sin a = 1 / 2 and cos b = root 3 / 2 then find the value of sin ( 2a + b ).
Is there any other way to solve this question Actually the formula used here i.e.sin (a+b)is not mentioned in our syllabus.

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Solution

sina = 1/2 sina = sin30 a =30 likewise cos b = sqrt(3)/2 = cos30 b = 30 sin (2a+b) = sin (2(30)+30) = sin (60+30) = sin90 = 1

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