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If cosecA-cotA =1/4Then cosecA+contact =? |
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Answer» cosecA-cotA = 1/4 {given}Now we multiply and divide cosecA + cotA on L.H.SSo, we get{cosecA-cotA × cosecA+cotA} / cosecA + cotA = 1/4cosec^2A - cot^2A / cosecA+cotA =1/4We know that cosec^2A-cot^2A=1So, we get1/cosecA +cotA =1/4Therefore,cosecA+cotA =4 cosecA- cotA= 1/4(cosecA-cotA)^2=(1/4)^2(cosec^2)A+(cot^2)A-2cosecAcotA=1/161+(cot^2)A+(cot^2)A-2cosecAcotA=1/162(cot^2)A-2cosecAcotA=1-1/162cotA(cotA-cosecA)=-15/16. -1)Now,cosecA-cotA=1/4cotA-cosecA=-1/4Now putting this in -1)2cotA(-1/4)=-15/16cotA=15/8now cosecA=(1/4)+15/8 cosecA=17/8To find out: cosecA+cotA =(17/8)+(15/8) =32/8 =4 Ans Sorry there is cotA not contact |
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