Question

if alpha + bita =90° then prove that cisec^2 alpha + cosec^2 bita = cos^2 alpha×cosec^bita​

Answer 1

Answer:

It is given that

α=2β

Hence

α+β=90

0

Substituting, we get

3β=90

0

Hence

β=30

0

Therefore α=60

0

Hence

sin

2

β+cos

2

α

=

2

1

2

+

2

1

2

=

4

1

+

4

1

=

2

1