Answer-If sin (4A − 5B) = (√2/2) and cos (A + B) = (√2/2), where 0° < A, B < 90°, then find the value of ‘A...

Q: Answer-If sin (4A − 5B) = (√2/2) and cos (A + B) = (√2/2), where 0° < A, B < 90°, then find the value of ‘A...

sin 4A 5B 22 Or, sin 4A 5B sin 45 Or, 4A 5B 45 ----------- I And, cos A B 22 Or, cos A B cos 45 Or, A B 45 -------------- II On solving equation I 5 equation II, we get 4A 5B 5 A B 45 5 45 Or, 4A 5B 5A 5B 270 Or, 9A 270 So, A 30

Question

If sin (4A − 5

B = (√2/2) and cos (A +
B = (√2/2), where 0° < A, B < 90°, then find the value of ‘A’.

A 30°

B 25°

C 35°

D 20°

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If sin (4A − 5

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