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Inverse trig functions are solved by determining if the values given are between the range of the given trig function.
To solve inverse functions, you will need to know this chart for determining the value of your reference angles.
To find the exact value of an inverse trig equation, you must:
To find the exact value of an inverse trig equation, you must:
1. For a negative equation, it is important that use QRS. QRS stands for Quadrant, Reference angle, and Sign. Since this equation is negative, start by writing the negative sign next to S.
2. Next, move on to the quadrant. The inverse of sine will be always be in quadrant IV.
3. Now, determine the reference angle. For the inverse of sin(-√3/2), the reference angle is π/3.
4. Finally, check the pattern of quadrant IV to determine your final solution. The pattern is -π/n, meaning that your final solution will be -π/3.
How to verify an inverse trig function:
How to verify an inverse trig function:
1. To verify if an equation is true or false, start by evaluating the equation inside the brackets.
2. The range for an inverse sine function is [-π/2, π/2]. Therefore, since -π/6 is less than -π/2, this function is true.
3. Always remember to check for the sign of the given function as to not mess up your calculations.
This video will provide further clarification on the restrictions of inverse trig functions.
For more help on finding the exact value of inverse trig functions, watch this video. You will see how the unit circle can help solve inverse functions.
The video above will provide advanced teaching on the concept of inverse trig functions. Use this as additional help for possible SAT questions.
The video above will provide advanced teaching on the concept of inverse trig functions. Use this as additional help for possible SAT questions.
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