Ex 3.2, 6 - Find value of sin 765 - Chapter 3 Class 11 - Ex 3.2 - Ex 3.2

part 2 - Ex 3.2, 6 - Ex 3.2 - Serial order wise - Chapter 3 Class 11 Trigonometric Functions

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Ex 3.2, 6 Find the value of the trigonometric function sin 765° sin 765° = sin (765 × 𝜋/180) = sin (𝟏𝟕𝝅/𝟒) = sin (41/4 𝜋) = sin (4𝝅 + 𝟏/𝟒 𝝅) = sin (𝟏/𝟒 𝝅) Values of sin x repeats after an interval of 2π Hence, ignoring 2 × (2π) i.e. 4π = sin (1/4 × 180°) = sin 45° = 𝟏/√𝟐

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