Graphing sine and cosine guided notes 2025

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The graph of y=sin x is symmetric about the origin, because it is an odd function. The graph of y=cos x is symmetric across the y-axis, because it is an even function.
The general equation for a sine and cosine curve is y = A sin ⁡ ( x h ) + k and y = A cos ⁡ ( x h ) + k , respectively. Similar to other function transformations, is the horizontal shift (also called a phase shift), and is the vertical shift.
What Are the Sin Cos Formulas? In a right-angled triangle, the side opposite to the right angle is the hypotenuse and the two legs are the adjacent and the opposite sides. Then the trigonometric ratios are given as cos = adjacent / hypotenuse and sin = opposite / hypotenuse.
What Is the Sin Formula? The sine of an angle of a right-angled triangle is the ratio of its perpendicular (that is opposite to the angle) to the hypotenuse. The sin formula is given as: sin = Perpendicular / Hypotenuse.
Basic Trigonometric Function Formulas sin = Opposite Side/Hypotenuse. cos = Adjacent Side/Hypotenuse. tan = Opposite Side/Adjacent Side. sec = Hypotenuse/Adjacent Side. cosec = Hypotenuse/Opposite Side. cot = Adjacent Side/Opposite Side.