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9.2 F UNDAMENTAL T RIGONOMETRIC I DENTITIES AND U SING A C ALCULATOR.

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Presentation on theme: "9.2 F UNDAMENTAL T RIGONOMETRIC I DENTITIES AND U SING A C ALCULATOR."— Presentation transcript:

1 9.2 F UNDAMENTAL T RIGONOMETRIC I DENTITIES AND U SING A C ALCULATOR

2 T HE T RIGONOMETRIC F UNCTIONS

3 T HE R ECIPROCAL I DENTITIES

4 T HE Q UOTIENT I DENTITIES

5 U SE THE GIVEN INFORMATION TO FIND THE VALUE OF EACH OF THE FOUR REMAINING TRIGONOMETRIC FUNCTIONS.

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7 U SING A C ALCULATOR TO E VALUATE T RIGONOMETRIC F UNCTIONS Remember that when we evaluate trigonometric functions: the input is the measure of an acute angle and the output is the ratio of the lengths of the sides

8 U SING A C ALCULATOR TO E VALUATE T RIGONOMETRIC F UNCTIONS For most acute angles, we approximate the value of each of the trigonometric functions using a calculator. Look for the keys on your calculator. To evaluate csc, sec, and cot, we must use the reciprocal identity and/or the reciprocal keys on the calculator.

9 U SE A CALCULATOR TO FIND THE VALUE TO FOUR DECIMAL PLACES. Scientific Calculator Graphing Calculator

10 U SE A CALCULATOR TO FIND THE VALUE TO FOUR DECIMAL PLACES. Scientific Calculator Graphing Calculator

11 U SE A CALCULATOR TO FIND THE VALUE OF THE SIX TRIGONOMETRIC FUNCTIONS FOR THE GIVEN ANGLE TO FOUR DECIMAL PLACES.

12 F IND THE MEASURE OF THE SIDE OF THE RIGHT TRIANGLE WHOSE LENGTH IS DESIGNATED BY A LOWERCASE LETTER. R OUND ANSWERS TO THE NEAREST WHOLE NUMBER. 64 ° 18 x

13 F IND THE MEASURE OF THE SIDE OF THE RIGHT TRIANGLE WHOSE LENGTH IS DESIGNATED BY A LOWERCASE LETTER. R OUND ANSWERS TO THE NEAREST WHOLE NUMBER. 19 ° a 15


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