Question

(b) If tan A=4/3


then the value of sec A will be:
​

Answer 1

Step-by-step explanation:

sec²A=1+tan²A

=1+(4/3)²

=1+16/9 ..... taking Lcm

=(9+16)/9

=25/9

sec²A=25/9

secA=5/3

Answer 2

Given:-

• tan A = 4/3

To find:-

• The value of sec A

Solution:-

Tan A = 4/3

We know that

tan A = perpendicular/Base

(Hypotenuse)² = (Perpendicular)² + (base)²

==>(4)² + (3)²

==>16 + 9

==>25

Hypotenuse² = 25

Hypotenuse = √25

Hypotenuse = 5

Then, sec A = Hypotenuse/Base

sec A = 5/3

Therefore, The value of sec A = 5/3.