Question

The value of cosec² 60°-tan² 30° =​

Answer 1

Answer:

1

Step-by-step explanation:

cosec^2 60°-tan^2 30°

(2/root 3)^2 - (1/root 3)^2

4/3 - 1/3

=1

hope this helps..

Answer 2

Answer:

1

Step-by-step explanation:

cosec^2 60 degrees

= 1 / sin^2 60 degrees

= 1 / ((root 3)/2)^2

= 1 / ( 3/4 )

= 4 / 3

tan^2 30 degrees

= (1/root 3)^2

= 1 / 3

Therefore,

cosec^2 60 degrees - tan^2 30 degrees

= (4 / 3) - (1 / 3)

= 3 / 3

= 1

Hope it is useful...