2-sinQ cosQ- cosQ /1-sinQ+ sin2Q-cos2Q =cotQ solve by trigonometrical identities tignometry class 10
Samriti vij , 7 Years ago
Grade 10
Trigonometry> 2-sinQ cosQ- cosQ /1-sinQ+ sin2Q-cos2Q =c...
1 Answers
Avinash
Cross multiply;2-sinQ.cosQ-cosQ=cotQ-cosQ+2cos^Q-cos2Q.cotQ==2-sinQ.cosQ=cotQ[1-cos2Q]+2cos^Q=cotQ [2sin^Q] +2cos^Q==2-sinQcosQ=2sinQcosQ+2Cos^Q==2-2cos^Q=3sinQcosQ==2[sin^Q]=3sinQcosQ==2sinQ=3cosQtanQ=3/2Therefore sinQ=3/√13CosQ=2/√13
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