Question

CosA ÷ cotA + sinA is :

Answer 1

Answer:

Step-by-step explanation:

Cos A/cotA +sinA (using cotA = cosA/sinA)

Cos A/ cosA / sin A + sinA

CosA•sinA/cosA + sin A

Sin A+ sin A

2sinA

Answer 2

Answer:

2sinA is the required value of  cos A ÷ cot A + sin A.

Step-by-step explanation:

Explanation:

Given that, cos A ÷ cot A + sin A

This can be written as,

$\frac{cosA}{cotA} + sin A$ .................(i)

And we know that, $cot\theta = \frac{cos\theta}{sin\theta}$

So, cot A = $\frac{cosA}{sinA}$

Now, we put the value of Cot A in (i) we get,

⇒ $\frac{cos A}{\frac{cos A}{sin A} }$ + sin A = CosA ×$\frac{sin A}{cosA}$ + sin A

[Where cosA, cos A are canceled out]

⇒ sinA + sin A = 2sinA

Final answer:

Hence, 2sinA is the required value of  cos A ÷ cot A + sin A.

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