Question

tan A=4/3 than find sec A

Answer 1

Answer:

Step-by-step explanation:

Hope this helps you.....

Answer 2

Answer:

Numeric value of secA is 5 / 3.

Step-by-step explanation:

It is given that the value of tanA  is 4 / 3.

And, from the properties of trigonometry we know that tan is the ratio of height and base of a triangle through an angle.

Thus,

= > tanA = 4 / 3

= > height / base = 4 / 3

Now, let the height be 4a and the base be 3a,

By Pythagoras Theorem,

= > Hypotenuse^2 = ( height )^2 + ( base )^2

= > Hypotenuse^2 = ( 4a )^2 + ( 3a )^2

= > Hypotenuse^2 = 16a^2 + 9a^2

= > Hypotenuse = √25a^2 = 5a

And, we know that sec is the ratio of hypotenuse and base : -

= > secA = ( hypotenuse ) / ( base )

= > secA = 5a / 3a

= > secA = 5 / 3

Hence.

Numeric value of secA is 5 / 3.