Question

130: The value of [(cos A/cot A) + sin A] is:

Answer 1

Answer:

$2 \sin(a)$

Step-by-step explanation:

$\frac{ \cos(a) }{ \cot(a) } + \sin(a) \\ = \frac{1}{ \cot(a) } ( \cos(a) + \sin(a) \\ = \tan(a) \cos(a) + \sin(a) \\ = \frac{ \sin(a) }{ \cos(a) } ( \cos(a) ) + \sin(a) \: \\ = \sin(a) + \sin(a) \\ = 2 \sin(a)$

Answer 2

Answer:

2 sin A

Step-by-step explanation:

cos A/cot A + sin A

1/cot A (cos A + sin A)

tan A (cos A + sin A)

sin A/ Cos A (cos A +sin A)

sin A + sin A

2 sin A