Question

If tan =

3
/4

then find the values of sec and cos ​

Answer 1

Solution :-

Given ,

• tanA = ¾

We need to find ,

• SecA & cosA

If tanA = 3/4 then the base will be 3 & height will be 4

Now , finding hypotenuse using Pythagoras theorem

Hyp² = base² + height²

→ Hyp² = 3² + 4²

→ Hyp² = 9 + 16

→ Hyp = √25

→ Hypotenuse = 5 units

Now finding secA & cosA

⇒ secA = Hypotenuse/Adjacent = 5/4

⇒ cosA = 1/secA = 1/(5/4) = 4/5