solve 5sin^2+3cos^2=4
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5sin²@+3cos²@=4
2sin²@+3sin²@+3cos²@=4
2sin²@+3(sin²@+cos²@)=4
2sin²@+3=4
2sin²@=1
sin²@=1/2
sin@=1/√2
but, sin45=1/√2
therefore,
@=45°
hope it helps
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