Question

cosecA = 5/2 then find the value of sin²A + cosec²A​

Answer 1

Answer:

cosecA=5/2

sinA=1/cosecA

1/(5/2)

sinA =2/5

sin²A+cosec²A=(2/5)²+(5/2)²

=4/25+25/4

=(16+625) /100

=631/100

=6.31

Answer 2

Answer:

$= coseca = \frac{5}{2} \\ = {sin}^{2} a + {coseca}^{2} \\ = \frac{1}{coseca^{2} } + cosec ^{2} a \\ = \frac{1}{\frac{5}{2} ^{2} } + ( \frac{5}{2} ) ^{2} \\ = \frac{1}{\frac{25}{4} } + \frac{25}{4} \\ = 1 \times \frac{4}{25} + \frac{25}{4} \\ = \frac{4}{25} + \frac{25}{4} \\ = \frac{16 + 625}{100} \\ = \frac{641}{100 } \\ = 6.41$

Hope, my answer helped you...