If sin A + cosec A = 3, then find the value of \frac{\sin^4\A+1}{\sin^2\A} .

SSC CGL Model Paper 15

Question : 71 of 100

Marks: +1, -0

If sin A + cosec A = 3, then find the value of

{\sin^4\A+1}/{\sin^2\A} .

Solution:

sin A + cosec A = 3

\sin \A+1/{\sin \A}=3

Squaring both sides

\sin ^2\A+1/{\sin^2 \A}+2=9

{\sin^4\A+1}/{\sin^2\A} =9-2=7

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