Question

If A = 15° then find the value of 2 sin A cos A.​

Answer 1

Answer:

$2 \sin(a) \cos(a)$

$sin2(a)$

$\sin2(15)$

$\sin(30)$

$\frac{1}{ {2} }$

Answer 2

The value of 2 sin A cos A is ½

Given : The given value is, A = 15°

To find : The value of (2 sinA cosA)

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given trigonometric expression)

Here, we will be using general trigonometric formula.

So,

= 2 sinA cosA

= sin 2A

= sin (2×15°) [By putting the given value]

= sin 30°

= ½

(This will be considered as the final result.)

Used formula :

• 2 sinθ cosθ = sin2θ
• sin 30° = ½

Hence, the value of 2 sin A cos A is ½