- To find the domain and range of radical functions, remember that having a negative number under the square root symbol is not possible. (for square roots)
- To find the range, plugin the minimum and maximum values of the variable inside radical.
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- Step 1: Draw the terminal side of the angle.
- Step 2: Find reference angle. (It is the smallest angle that you can make from the terminal side of an angle with the \(x\)-axis.)
- Step 3: Find the trigonometric function of the reference angle.
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- If the denominator contains a radical, multiply that radical by the numerator and denominator.
- Multiply both the numerator and the denominator by the conjugate of the denominator if the denominator contains both a radical and another integer.
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Degrees \(=\) Radians \(\times \frac{180}{π}\)
Example:
Convert \(\frac{ 2π}{3}\) to degrees.
\(\frac{2\ π}{3} \times \frac{180}{π} \ = \ \frac{360π}{3π} \ = \ 120\)
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Printable worksheets on Box and Whisker Plots. You can access all of them for free. This versatile worksheets can be timed for speed, or used to review and reinforce skills and concepts.
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In a right triangle, when one side and an angle are given we can find a missing side. The trigonometric ratios can be used to determine the length of the missing side in a right triangle.
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- Co-terminal angles are equal angles.
- To find a co-terminal of an angle, add or subtract \(360\) degrees (or \(2π\) for radians) to the given angle.
- Reference angle is the smallest angle that you can make from the terminal side of an angle with the \(x-\)axis.
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Printable worksheets on Finite Geometric Series. You can access all of them for free. This versatile worksheets can be timed for speed, or used to review and reinforce skills and concepts.
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Area of a Sector of a Circle \(= \ (\frac{θ}{360}) \times πr^2\)
Arc length \(= \ \frac{Central \ Angle}{360°} \times 2πr\)
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radians \(=\) degrees \(\times \frac{π}{180}\)
Example:
Convert \(150\) degrees to radians.
radians \(= \ 150 \times \frac{π}{180} \ = \ \frac{5π}{6}\)
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