2 Sin 15 Cos 15. Simplify cos(15)^2sin(15)^2 Apply the cosine doubleangle identity Multiply by The exact value of is The result can be shown in multiple forms Exact Form.
then 2 sin15cos15 = sin (2*15) = sin 30 en we all know that the value of sin 30 is 1/2 therefore the value of 2 sin 15 cos 15 = 1/2.
[Solved] Value of 2 sin 15° cos 15° Testbook.com
So by comparing value A=15 sin2(15)=2sin(15)cos(15) sin (15) cos(15)=sin(30)/2 Now apply sin(30) value that is 1/2 So sin (15) cos(15)=1/4.
[Solved] What is the value of 2 sin 15° cos 15° – 4 sin
2 sin 15° cos 15° – 4 sin 3 15° cos15° = ? Formulae Used sin (A – B) = (sin A × cos B) – (cos A × sin B) cos (A – B) = (cos A × cos B) + (sin A × sin B) (A + B) 3 = A 3 + 3A 2 B + 3AB 2 + B 3 Calculation sin15° = sin (45° – 30°) ⇒ sin15° = (sin 45° × cos 30°) – (cos 45° × sin 30°).
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Calculation Given 2 × sin 15° × cos 15° ∴ 2 × sin 15° × cos 15° = sin 30° = 1 2 Download Solution PDF Share on Whatsapp Let's discuss the concepts related to Trigonometry and Trigonometric Functions Explore more from Mathematics here Learn now!.