Question

2cos theta sin theta =???

Answer 1

SOLUTION

TO DETERMINE

$\sf{2 \cos \theta \sin \theta}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{2 \cos \alpha \sin \beta = \sin ( \alpha + \beta ) - \sin ( \alpha - \beta )}$

EVALUATION

$\sf{2 \cos \theta \sin \theta}$

$\sf{= \sin ( \theta + \theta ) - \sin ( \theta - \theta )}$

$\sf{= \sin 2 \theta - \sin 0}$

$\sf{= \sin 2 \theta - 0}$

$\sf{= \sin 2 \theta }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. if 10 cosA - 11 Sin A = 12, Show that 10 SinA + 11 CosA = ± √77

https://brainly.in/question/30595765

2. value of(1+tan13)(1+tan32)+(1+tan12)(1+tan33)

https://brainly.in/question/23306292

Answer 2

Answer:

2 cos thetha sin theta =sin 45