Evaluate the following.

C.

By trigonometric identities,

cot 45° = 1/tan 45° = 1/1 = 1

sec 30° = 1/cos 30° = 2/√3 [∵, cos 30° = √3/2]

cosec 60° = 1/sin 60° = 2/√3 [∵, sin 60° = √3/2]

sin 30° = 1/2

tan 45° = 1

cos 60° = 1/2

Putting all these values in , we get

Since, numerator is equal to denominator in the above calculation, we can say