1.

If sin A + cosec A = 2, find the value of sin²A+ cosec²A​

Answer»

ANSWER:

\sin(a)  +  \csc(a)  = 2 \\ squaring \: on \: both \: side \\  ({ \sin(a) +  \csc(a)  })^{2}  = 4 \\   { \sin(a) }^{2}  +  { \csc(a) }^{2}  + 2 \sin(a)  \csc(a)  = 4 \\  { \sin(a) }^{2}  +  { \csc(a) }^{2}  = 4 - 2 \sin(a)  \csc(a)  \\  { \sin(a) }^{2}  +  { \csc(a) }^{2}  = 2(2 -  \sin(a)  \cos(a)

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