Question

(sin²30° + 4 cot ² 45 ° - sec ² 60 ° )( cosec ² 45 ° sec ² 30 )​

Answer 1

Answer:

ans = 17.5

Step-by-step explanation:

values are :

sin30 = 1/2 ,cot45= 1 , sec60= 2/√3, cosec45= √2

sec30 =2.

now substitute the values according to the question.

= [(1/2)^2 + 4×(1)^2 - (2/√3)^2 ] [ (√2)^2 +(2)^2 ]

= [ 1/4 + 4 - 4/3 ] [ 2 + 4 ]

= [ 3/12 + 48/12 - 16/12 ] [ 6 ]

= (35/12) (6)

= 35/2

or

= 17.5