if cosecA - cotA = 1/4, then find the value of cosecA + cotA
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Answer:
4
Explanation:
cosecA- cotA
= 1/4 (cosecA-cotA)^2
=(1/4)^2 (cosec^2)A+(cot^2)A-2cosecAcotA
=1/16 1+(cot^2)A+(cot^2)A-2cosecAcotA
=1/16 2(cot^2)A-2cosecAcotA
=1-1/16 2cotA(cotA-cosecA)
=-15/16. -1)
Now, cosecA-cotA=1/4 cotA-cosecA=-1/4
Now putting this in -1) 2cotA(-1/4)=-15/16 cotA=15/8 now cosecA=(1/4)+15/8 cosecA=17/8
To find out:
cosecA+cotA =(17/8)+(15/8) =32/8 =4 Ans
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