buktikan cot A+tan A = sec A dikali cosec A

IDENTITAS TRIGONOMETRI

cot A + tan A
= cos A/sin A + sin A/cos A
= (cos² A + sin² A) / sin A cos A
= 1 / sin A cos A
= 1/sin A . 1/cos A
= csc A . sec A
_terbukti_

cot A + tan A = sec A x cosec A
1/tan A + tan A = 1/cos A x 1/sin A
cos A/sin A + sin A/cos A = 1/(cosA SinA)
(cos^2 A + sin^2 A)/(sin A cos A) = 1 / (cosA sinA)
1/(sin A cos A) = 1/(sinA cos A)
ruas kiri = ruas kanan (terbukti)