If cos O=4/5 then tan =O 3/5O 3/404/305/3

1.	If cos O=4/5 then tan =O 3/5O 3/404/305/3
Answer» Answer: 3/4 Explanation: ACCORDING to the question, COS A = 4/5 …(1) We know, tan A = sinA/cosA To find the value of SIN A, We have the equation, sin2 θ +cos2 θ =1 So, sin θ = √ (1-cos2 θ) Then, sin A = √ (1-cos2 A) …(2) sin2 A = 1-cos2 A sin A = √(1-cos2 A) Substituting equation (1) in (2), We GET, Sin A = √(1-(4/5)2) = √(1-(16/25)) = √(9/25) = ¾.

Answer»

Answer:

3/4

Explanation:

ACCORDING to the question,

COS A = 4/5 …(1)

We know, tan A = sinA/cosA

To find the value of SIN A,

We have the equation,

sin2 θ +cos2 θ =1

So, sin θ = √ (1-cos2 θ)

Then, sin A = √ (1-cos2 A) …(2)

sin2 A = 1-cos2 A sin A = √(1-cos2 A)

Substituting equation (1) in (2), We GET,

Sin A = √(1-(4/5)2) = √(1-(16/25)) = √(9/25) = ¾.

Discussion