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Click ‘Get Form’ to open it in the editor.
Begin by filling in your name, date, and block at the top of the document. This personalizes your notes.
Use your knowledge of the sine and cosine functions to complete the table of values provided. Input corresponding x-values and calculate y-values based on the sine and cosine equations.
Answer the questions regarding characteristics of the sine function, such as domain, maximum and minimum values, range, period, intercepts, etc. Fill these in directly within the designated fields.
Repeat step 4 for the cosine function using its respective section.
Sketch each graph based on your completed tables. Utilize a graphing calculator to verify your sketches for accuracy.
Finally, explore how changes in amplitude and period affect graphs by completing the examples provided at the end of the document.

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What is the graph of the sine function?

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.

What is the general equation for sin and cos?

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.

Which formulas are used for sine and cosine?

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 formula for calculating sine?

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.

What are the 7 formulas of trigonometry?

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.