## anonymous 4 years ago prove the trig functions and show the steps 0=theta when i write this 6. sec0/tan0=csc0 7. (sec x +tan x)(1-sin x/cos x)=1 8. 2/sqrt3 cosx+sinx=sec(pi/6-x) 9. prove tan(0/2)=sin0/1+cos0 for 0 in quadrant 1 by filling in the reason belo

1. Mertsj

$\frac{\sec \theta}{\tan \theta}=\csc \theta$ $\frac{1}{\cos \theta}\over\frac{\sin \theta}{\cos \theta}$ $(\frac{1}{\cos \theta})\times \cos \theta \over(\frac{\sin \theta}{\cos \theta} )\times \cos \theta$

2. Mertsj

$\frac{1}{\sin \theta}=\csc \theta$

3. Mertsj

$(secx+tanx)(\frac{1-sinx}{cosx})=1$ $(\frac{1}{cosx}+\frac{sinx}{cosx})(\frac{1-sinx}{cosx})$ $\frac{1-sinx}{\cos ^{2}x}+\frac{sinx-\sin ^{2}x}{\cos ^{2}x}$ $\frac{1-sinx+sinx-\sin ^{2}x}{\cos ^{2}x}$ $\frac{1-\sin ^{2}x}{\cos ^{2}x}$ $\frac{\cos^2x}{\cos^2x}=1$

4. Mertsj

Can't tell what you mean by the third one. Don't know if sinx is part of the denominator or not.