Question

Evaluate cosec 39°•sec51°–tan51°•cot39°.​

Answer 1

Answer:

Step-by-step explanation:

cosec 39° * sec 51° - tan 51° * cot 39°

Applying

cosec A = sec (90°-A) and

cot A = tan (90° - A)

We get,

sec 51° * sec 51° - tan 51° * tan 51°

= sec^2 51° - tan^2 51°

Applying

sec^ A - tan^2 A = 1

We get,

sec^2 51° - tan^2 51°

= 1

Therefore the answer is 1

Answer 2

Given below in photo