Question

cos A / cot A) + sin A= ____________

Answer 1

Answer:

The value of $(\frac{cosA}{cotA}) + sinA$ is 2sinA.

Step-by-step explanation:

We should all know that,

tanθ is the ratio of sinθ to cosθ, and cotθ is the inverse of tanθ.

Therefore,
$tan \theta = \frac{sin \theta}{cos \theta}$, and,

$cot \theta = \frac{1}{tan \theta}$

∴ $cot \theta = \frac{cos \theta}{sin \theta}$

Now, the given problem:

$(\frac{cosA}{cotA}) + sinA$

$= (\frac{cosA}{\frac{cosA}{sinA} } ) + sin A$

$= (\frac{cosA \times sinA}{cosA} ) + sinA$

$= sinA + sinA = 2sinA$

#SPJ3