Question

Cos45*/sec30*+cosec60*​

Answer 1

hi

telangana na India na

Answer 2

= (√3+4√2)/2√6

Explanation:

To evaluate cos45*/sec30*+cosec60*​

First according to trigonometry identity

sec 30 = 1/cos30

cosec 60 = 1/sin60

Substitute

cos45*/sec30*+cosec60*​

= cos45/(1/cos30) + 1/sin60

= cos45coss30 + 1/sin60

= 1/√2 * √3/2 + 1/(√3/2)

= √3/2√2 + 2/√3

= (√9+4√2)/2√6 +

= (√3+4√2)/2√6