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If A and B are acute angles satisfying sinA=sin²B and 2cos²A=3cos²B then find A+B

If A and B are acute angles satisfying sinA=sin²B and 2cos²A=3cos²B then find A+B

Grade:9

1 Answers

Ludicrous Lunatic
53 Points
3 years ago
A and B should be acute angles. Try the most possible numbers and you will find 30 and 45 to satisfy the numbers . Sin A will be 1/2 and sin^2   B will be 1/2. Apply the same for cosine. Hence A+B is 75.
 
 
 

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