Question

If sin ø=20/29, find tan ø​

Answer 1

Step-by-step explanation:

Given:-

Sin ø=20/29

To find:-

Find the value of Tan ø

Solution:-

Given that

Sin ø=20/29

On squaring both sides then

=> (Sin ø)^2 =(20/29)^2

=> Sin^2 ø = 400/841

=> 1- Sin^2 ø = 1-(400/841)

=> 1-Sin^2 ø = (841-400)/841

=>1-Sin^2 ø = 441/841

We know Sin^2 A + Cos^2 A = 1

=> Cos^2 ø = 441/841

=> Cos ø = √(441/841)

=> Cos ø = 21/29

Now

Tan ø = Sin ø / Cos ø

=> (20/29)/(21/29)

=> (20×29)/(21×29)

=> 20/21

Tan ø = 20/21

Answer:-

The value of Tan ø for the given problem is 20/21

Used formulae:-

• Sin^2 A + Cos^2 A = 1

• Tan A = Sin A/ Cos A