Question

if cosA=10/26 find tanA​

Answer 1

• Tan A is 24/10

Step-by-step explanation:

To find:-

• Value of Tan A.

Solution:-

Given that,

Cos A = 10/26

Cos θ = Base/Hypotenuse

Base = 10

Hypotenuse = 26

Tan θ = Perpendicular/Base

• We do not have Perpendicular. So,

According to Pythagoras theorem :-

Perpendicular² = Hypotenuse² - Base²

• We use Pythagoras theorem when one side of any right angled triangle is not given.

➞ Perpendicular² = (26)² - (10)²

➞ Perpendicular² = 676 - 100

➞ Perpendicular² = 576

➞ Perpendicular = √576

➞ Perpendicular = 24

Tan θ = Perpendicular/Base

Tan A = 24/10

Therefore,

Tan A = 24/10

____________________

More ratio's

• Sin θ = Perpendicular/Hypotenuse
• Cot θ = Base/Perpendicular
• Sec θ = Hypotenuse/Base
• Cosec θ = Hypotenuse/Perpendicular

Answer 2

Tan A is 24/10

Step-by-step explanation:

To find:-

Value of Tan A.

Solution:-

Given that,

Cos A = 10/26

Cos θ = Base/Hypotenuse

Base = 10

Hypotenuse = 26

Tan θ = Perpendicular/Base

We do not have Perpendicular. So,

According to Pythagoras theorem :-

Perpendicular² = Hypotenuse² - Base²

We use Pythagoras theorem when one side of any right angled triangle is not given.

➞ Perpendicular² = (26)² - (10)²

➞ Perpendicular² = 676 - 100

➞ Perpendicular² = 576

➞ Perpendicular = √576

➞ Perpendicular = 24

Tan θ = Perpendicular/Base

Tan A = 24/10

Therefore,

Tan A = 24/10