Question

If sinA=3/5, find cos A and tan A.​

Answer 1

• Cos A = 4/5.
• tan A = 3/4.

Step-by-step explanation:

To find:-

• Value of cos A and tan A.

Solution:-

Given that,

sin A = 3/5

◆ Sin θ = Perpendicular/Hypotenuse

Perpendicular = 3

Hypotenuse = 5

◆ cos θ = Base/Hypotenuse

• We do not have Base. So,

According to Pythagoras theorem:

Base² = Hypotenuse² - Perpendicular²

➝ Base² = (5)² - (3)²

➝ Base² = 25 - 9

➝ Base² = 16

➝ Base = √16

➝ Base = 4

◆ cos θ = Base/Hypotenuse

=> cos A = 4/5

◆ tan θ = Perpendicular/Base

=> tan A = 3/4

____________________

More ratio's :-

◆ cot θ = Base/Perpendicular

◆ sec θ = Hypotenuse/Base

◆ cosec θ = Hypotenuse/Perpendicular

Answer 2

Step-by-step explanation:

Given :

• SinA = 3 / 5

To Find :

• find cos A and tan A.

Solution :

using square trigonometric identity

Cos²A + Sin²A = 1

CosA = √ 1 - sin²

Substitute all Values :

CosA = √ 1 - ( 3/ 5 )²

CosA = √ 1 - 9/25

CosA = √ 16/25

CosA = 4/5

TanA = SinA / CosA

Substitute all Values :

TanA = 3/5 / 4/5

TanA = 15/20

TanA = 3/4