Question

if cosecA - cotA = 1/4, then find the value of cosecA + cotA

Answer 1

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