Question

1+tan²A is equal to
a) sin²A
B) cos²A
c) sec²A d) cosec²A​

Answer 1

Answer:

c) Sec^2 A

Step-by-step explanation:

Trignometric Identity 2

1 + Tan^2 A = Sec^2 A

Answer 2

Answer:

c) sec²A

Step-by-step explanation:

     1 + tan²A

 =  1 + (sin²A) / (cos²A)

 = (cos²A + sin²A) / cos²A

 = 1 / cos²A          ———————— [ sin²A + cos²A = 1 ]

 = sec²A