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Directions: Find the missing angle in each of the following problems.

1. QR = 36 ; PR = 45 ; PQ = 21, Sin __?___ = 21 / 45

2. QR = 16 ; PR = 2 ; PQ = 8, tan __?__ = 8 / 16

3. QR = 15 ; PR = 28 ; PQ = 15, Cos __?__ = 15 / 28

4. QR = 47 ; PR = 64 ; PQ = 38, tan __?__ = 38 / 47

5. QR = 4 ; PR = 17 ; PQ = 12, Sin __?___ = 12 / 17

6. QR = 36 ; PR = 59 ; PQ = 20, Cos __?___ = 36 / 59

7. QR = 82 ; PR = 63 ; PQ = 29, tan __?__ = 29 / 82

8. QR = 10 ; PR = 28 ; PQ = 8, Sin __?___ = 8 / 28

9. QR = 51 ; PR = 42 ; PQ = 9, tan __?__ = 9 / 51

10. QR = 16 ; PR = 20 ; PQ = 17, Cos __?___ = 16 / 20

11. QR = 12 ; PR = 84 ; PQ = 60, Sin __?_ = 60 / 84

12. QR = 19 ; PR = 32 ; PQ = 45, Cos __? = 19 / 32

13. QR = 76 ; PR = 27 ; PQ = 64, tan __ ?_ = 64 / 76

14. QR = 26 ; PR = 48 ; PQ = 37, Cos __?_ = 37 / 48

15. QR = 19 ; PR = 66 ; PQ = 23, Cos __?__= 23 / 66

Sagot :

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The missing angles are listed below:

sin 27.818° = 21 / 45

tan 26.565° = 8 / 16

cos 57.607° = 15 / 28

tan 38.956° = 38 / 47

sin 44.901° = 12 / 17

cos 52.398° = 36 / 59

tan 19.477° = 29 / 82

sin 16.601° = 8 / 28

tan 10.008° = 9 / 51

cos 36.870° = 16 / 20

sin 35.538° = 60 / 84

cos 53.576° = 19 / 32

tan 40.101° = 64 / 76

cos 39.571 = 37 / 48

cos 69.605° = 23 / 66

How to find the measure of missing angles by definition of inverse of trigonometric functions

In this question we must find the measure of the angle associated to the rational numbers seen in the statement. There are two methods to estimate such measures: (i) Drawing an equivalent right triangle and estimate the measure of the angle by definition of trigonometric functions, (ii) Using inverse trigonometric functions and numerical methods since they are trascendent variables.

Herein we decided to use the second method by reasons of rapidness and effectivity:

sin 27.818° = 21 / 45

tan 26.565° = 8 / 16

cos 57.607° = 15 / 28

tan 38.956° = 38 / 47

sin 44.901° = 12 / 17

cos 52.398° = 36 / 59

tan 19.477° = 29 / 82

sin 16.601° = 8 / 28

tan 10.008° = 9 / 51

cos 36.870° = 16 / 20

sin 35.538° = 60 / 84

cos 53.576° = 19 / 32

tan 40.101° = 64 / 76

cos 39.571 = 37 / 48

cos 69.605° = 23 / 66

To learn more on inverse trigonometric functions: https://brainly.com/question/1143565

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