Answer-If sin(A + B) = 1/2 and cos(A + 2B) = √3/2, where 0° < A, B < 90°, then find the value of tan(2A).

Q: Answer-If sin(A + B) = 1/2 and cos(A + 2B) = √3/2, where 0° < A, B < 90°, then find the value of tan(2A).

sinA B 12Or, sinA B sin 30Or, A B 30 -------- IcosA 2B 32Or, cosA 2B cos 30Or, A 2B 30 -------- IIOn solving 2 equation I equation II,We get, 2 A B A 2B 2 30 30Or, 2A 2B A 2B 60 30Or, A 30Required value tan2A tan60 3

Question

If sin(A +

A .
B = 1/2 and cos(A + 2
B = √3/2, where 0° < A, B < 90°, then find the value of tan(2

A 1

B √3

C 1/√3

D 2

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