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Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + beta) = ?
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Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + b...
Are you trying to solve for the values of alpha and beta? Or are you looking for a simplification of the expression? Please provide more context so I can better assist you.
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Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + b...
Sina + sinb = 1/3

2sin(a+b/2) cos(a-b/2) = 1/3...(i)

cosa + cosb = 1/4

2 cos(a+b/2) cos(a-b/2) = 1/4....(ii)

dividing (ii) by (i)

tan(a+b/2) = 4/3

sin(a+b) = [2tan(a+b/2)] / 1+ tan²(a + b/2)

= [2×4/3] / 1 + (16/9)

= (8/3 )/( 25/9)

= 24/25
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Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + beta) = ?
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Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + beta) = ? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + beta) = ? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sin alpha + sin beta = 1\3 & cos alpha + cos beta =1\4, sin (alpha + beta) = ?.
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