Question

Which of the following is correct?
(A) tan 7 > tan10 > tan 13 > tan 16
(C) tan 13 > tan 10 > tan16 > tan 7
(B) tan 16 > tan 10 > tan 7 > tan13
(D) tan 10 > tan 7 > tan 16 > tan13​

Answer 1

Answer:

tan 7 > tan10 > tan 13 > tan 16

Step-by-step explanation:

For Values are given

Tan 7  , Tan 10  , Tan 13 & Tan 16

Tan 7   = Tan (7 * 180/π) ° =  Tan 401.3° =  Tan (360 + 41.3)° = Tan 41.3°

Tan 10   = Tan (10 * 180/π) ° =  Tan 573.2° =  Tan (360 + 213.2)° = Tan 213.2°

= Tan (180 + 33.2)° = Tan 33.2°

Tan 13   = Tan (13 * 180/π) ° =  Tan 745.2° =  Tan (720 + 25.2)° = Tan 25.2°

Tan 16   = Tan (16 * 180/π) ° =  Tan 573.2° =  Tan (720 + 197.2)° = Tan 197.2°

= Tan (180 + 17.2)° = Tan 17.2°

Tan 41.3° >  Tan 33.2° > Tan 25.2° > Tan 17.2°

tan 7 > tan10 > tan 13 > tan 16

option A is correct