Evaluate cosec 39° . sec 51° - tan 51° . cot 39°
Answers
Answered by
3
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
Similar questions