Question

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

Answer 1

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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