Question

evaluate cosec 39 . sec 51 - tan 51 . cot 39​

Answer 1

=cosec(90-51)sec 51 -tan51 cot(90-51)

=sec51°sec51°-tan51° tan51°

=sec^2(51°)-tan^2(51°)

=1 Ans.

Answer 2

Answer:

Value of

cosec39° sec51°-tan51°cot39

=1

Step-by-step explanation:

Value of

cosec39° sec51°-tan51°cot39°

=cosec(90°-51°)sec51°-tan51°cot(90°-51°)

= sec51°sec51°-tan51°tan51°

/* We know that,

i )cosec(90-A) = secA

ii) cot(90°-A) = tanA

*/

= sec²51° - tan²51°

/* By Trigonometric identity:

sec²A-tan²A = 1 */

= 1

Therefore,

Value of

cosec39° sec51°-tan51°cot39

=1

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