Buktikan identitas trigonometri berikut a. SinA / 1- cos A = 1+ cos A / sin A b. Sin A + cos A cotan A = cosec A

[tex]\displaystyle \frac{\sin A}{1-\cos A}=\frac{1+\cos A}{\sin A}\\\frac{\sin A}{\frac{\sin^2A}{1+\cos A}}=\frac{1+\cos A}{\sin A}\\\frac{\sin A(1+\cos A)}{\sin^2A}=\frac{1+\cos A}{\sin A}\\\boxed{\boxed{\frac{1+\cos A}{\sin A}=\frac{1+\cos A}{\sin A}}}[/tex]

[tex]\displaystyle \sin A+\cos A\cot A=\csc A\\\sin A+\cos A\frac{\cos A}{\sin A}=\csc A\\\frac{\sin^2A+\cos^2A}{\sin A}=\csc A\\\frac{1}{\sin A}=\csc A\\\boxed{\boxed{\csc A=\csc A}}[/tex]