Question

If cosec a - sin a =√5
find cosec a + sin a​

Answer 1

Step-by-step explanation:

ANSWER

cosecθ−sinθ=5

⇒ sinθ1−sinθ=5

⇒ 1−sin2θ=5sinθ

⇒ sin2θ+5sinθ−1=0

⇒ ⇒x=2−5±5+4

x=2−5±3

∴ sinθ is an acute angle

So, sinθ=23−5

and cosecθ=3−52

=3−52×3+5