sin 2A Formula Using 2sinAcosB Formula
We have, 2 sin A cos B = sin (A + B) + sin (A – B)
Now, let us consider that A = B
⇒ 2 sin A cos A = sin (A + A) + sin (A – A)
⇒ 2 sin A cos A = sin 2A + sin 0°
⇒2 sin A cos A = sin 2A {Since sin 0° = 0}
Hence, sin 2A = 2 sin A cos A
Article Related to 2sinAcosB Formula:
2sinAcosB Formula
2sinacosb is one of the important trigonometric formulas which is equal to sin (a + b) + sin (a – b). It is one of the product-to-sum formulae that is used to convert the product into a sum.
This formula is derived using the angle sum and angle difference formulas. Before learning more about the 2sinAsinB Formula, let’s first learn in brief about, Trigonometric Ratios
Table of Content
- Trigonometric Ratios
- 2sinAcosB Formula
- Derivation of 2sinAcosB Formula
- sin 2A Formula Using 2sinAcosB Formula
- Problems on 2sinAcosB Formula
- FAQs on 2sinAcosB Formula
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