Evaluate tan 22° 30' in Surd Form (1 Viewer)

[Mudkip94]

Halp!

 

[Trebla]

tan 45° = 2tan (22.5°) / (1 - tan²22.5°)
1 = 2tan (22.5°) / (1 - tan²22.5°)
then solve the quadratic equation for tan 22.5°

 

[Drongoski]

 

[adomad]

tan 45° = 2tan (22.5°) / (1 - tan²22.5°)
1 = 2tan (22.5°) / (1 - tan²22.5°)
then solve the quadratic equation for tan 22.5°

also, letting u= tan 22.5 makes it look neater. and remember that tan 22.5 is positive so u have to reject the negative answer

 

[Macdaddy.]

Whatever is a surd?

 

[Mudkip94]

Thanks guys!