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Simple Trigonometric Equations

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Simple Trigonometric Equations The sine graph below illustrates that there are many solutions to the trigonometric equation sin x = 0.5. Inclination and Slope Simple ... – PowerPoint PPT presentation

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Title: Simple Trigonometric Equations


1
Simple Trigonometric Equations
The sine graph below illustrates that there are
many solutions to the trigonometric equation sin
x 0.5.
2
When solving an equation such as sin x 0.6, we
can use a calculator .
3
Set your calculator in radian mode.
This means that 0.6435 is the reference angle for
other solutions. Since x is positive, and sine is
positive in the first and second quadrants, ? -
0.6435 is also a solution.
4
To solve an equation involving a single
trigonometric function, we first transform the
equation so that the function is alone on one
side of the equals sign.
This is the reference angle
Cos is negative in the second quadrant so
Cos is also negative in the third quadrant so
5
Inclination and Slope
6
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