Trigonometry---

[m321]

I have a couple of questions which I have answered but not too sure if they are correct. Any help is greatly appreciated.

sin150 + cos330

= sin30 + cos30

=1/2 + *root of 3*/2

However I am not familiar to simplifying it further the denominator will remain the same but will it be 2*root3* / 2 = root3 ? OR *root 3* +1 /2 OR neither :lol:


Also, similarly
(tan^2)210 - (cos^2)300
= *root 3* ^2 - (1/2)^2
= 3 - (1/4)
=11/4


Thank you in advance

 

[Deleted member 4993]

I have a couple of questions which I have answered but not too sure if they are correct. Any help is greatly appreciated.

sin150 + cos330

= sin30 + cos30

=1/2 + *root of 3*/2

However I am not familiar to simplifying it further the denominator will remain the same but will it be 2*root3* / 2 = root3 ? OR ( *root 3* +1) /2 OR neither :lol:


Also, similarly
(tan^2)210 - (cos^2)300
= *root 3* ^2 - (1/2)^2
= 3 - (1/4)
=11/4 <<< Correct


Thank you in advance

 

[m321]

Thanks you very much. I did mean that in the first one it's all over 2 but I didn't clearly state it; Thank you again for your help.