Here's a of trig question

[cllynn213]

1) How do I find the value of sin A if tan A = 1/2 using trignometric identities?
[/code]

 

[Unco]

G'day,

You could use the identities: \(\displaystyle \, \cos^2{\theta} + \sin^2{\theta} = 1\,\) and \(\displaystyle \, \tan^2{\theta} + 1 = \sec^2{\theta}\,\).

Alternatively you could draw a right-angled triangle with \(\displaystyle \tan{A} = \frac{1}{2}\) and find \(\displaystyle \, \sin{A}\,\) from there.

 

[cllynn213]

Thanks for the help!