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3tan theta =4 show that 3sin theta +2 cos theta / 3sin theta -2 cos theta =3 |
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Answer» -STEP explanation:3tan θ=4tan θ=4/3p=4,b=3h=√p²+b²=√4²+3²=√16+9=√25=5sin θ=p/h=4/5cos θ=b/h=3/5LHS3sinθ+2cosθ/3sinθ-2cosθ=(3×4/5+2×3/5)/(3×4/5-2×3/5)=(12/5+6/5)/(12/5-6/5)=(18/5)/(6/5)=18/5×5/6=3LHS=RHSHENCE PROVED |
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