Question

if cos A =4/5 then find the value of tanA​

Answer 1

Answer:

sin A = √1-cos^2A

That implies sinA = squre root of 1- (4/5) ^2

That implies sinA =√1-16/25

That implies sinA=√25-16whole divided by 25

That implies sinA =√9/25=3/5

tanA= sina/cos A=3/5/4/5==3/4

Answer 2

Answer:

3/4

Explanation:

We know that Cos = $\dfrac{Base}{Hypotenuse}$

So base = 4 and Hypotenuse= 5

Then by Pythagorean theorem ,

H² = P² + B²

5² = P² + 4²

25 - 16 = P²

√9 = P

P = 3

Now we have Tan = $\dfrac{Perpendicular}{Base}$

So Tan A = $\dfrac{3}{4}$