Question

if tan A 3/4 find value of sec A and cos A​

Answer 1

Answer:

Step-by-step explanation:

in rt.Δ ABC,

AB=4CM;BC=3CM;

by pythagoras theorem,find AC

therefore,

AB²+BC²=AC²

(4)²+(3)² =AC²

16+9=AC²

√25=AC

AC=5cm

Now,

sec A=1÷cos A

sec A =1÷4/5

sec A=5/4

Now,

cos A= 4/5

Answer 2

In right ∆ ABC

Tan: 3/4 opp/adj

To find hypotenuse

By Pythagoras property

AC²= AB² + BC²

3² + 4²

9 + 16

AC²= 25

AC= √ 25

AC= 5 cm

Wkt, Cos: adj / opp

4 / 3

Sec: hyp / adj

5 / 4