if 7sin^2A +3cos^2A= 4 show that tan A=1÷√3
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3sin^2A+3COS^2A+4SIN^2A=4. 3+4SIN^2A=4; 4SIN^2A=1. SIN^2A=1/4. SIN A=1/2. SINA=SIN30. A=30. tan 30=1/√3
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