if tan 22 fill 1/2=x then cos 67 fill 1/2= ??

Question

Please solve this trigonometry problem.

Answer 1

???????????????? "tan 22 filll 1/2" ??????????

maebee yu wanna multipli bi 2 ????????????

tan(22)=0.4040262258351568

2*....=0.8080524516703136

Comments

Sorry I want answer interns of x. If tan 45/2=x find cos 135/2=??in terms. Of x not in number.

Answer 2

I guess for 22 fill 1/2 you mean 22+1/2=45/2 and so tan45/2=x and cos135/2=??.

cos135/2=cos(180-45)/2=cos(90-45/2)=sin45/2. In triangle ABC, if B is 90 degrees, and A is 45/2 degrees, then BC/AB=tan45/2=x/1. By Pythagoras AC^2=AB^2+BC^2=1+x^2. So sin45/2=x/sqrt(1+x^2)=cos135/2. So the answer, without evaluating x, is x/sqrt(1+x^2).

[However, x can be evaluated because we know sin45=cos45=1/sqrt(2) and tan45=1. From these we can work out that tan45/2=sqrt(2)-1=x.]

Comments

Thanks a lot....