14 Trigonometry Questions! Need Help Please!

[Zach0827]

[FONT=&quot]1. In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 11 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. (Round your answer to one decimal place.) [/FONT]

[FONT=&quot]height = ___ mi [/FONT]

[FONT=&quot]2. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (the first blank is for the mathmatical sign +/- [/FONT]

[FONT=&quot](−9, −4) [/FONT]

[FONT=&quot]sinθ = ___ ___ \√___ [/FONT]

[FONT=&quot]3. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (the first blank is for the mathmatical sign +/- [/FONT]

[FONT=&quot](−4, 22) [/FONT]

[FONT=&quot]tanθ = ___ ___ \ ___ [/FONT]

[FONT=&quot]4. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (the first blank is for the mathmatical sign +/- [/FONT]

[FONT=&quot](−5, −2) [/FONT]

[FONT=&quot]cosθ = ___ ___ \√ ___ [/FONT]

[FONT=&quot]5. State the quadrant in which θ lies. [/FONT]

[FONT=&quot]cos θ < 0 and tan θ < 0 [/FONT]

[FONT=&quot]6. State the quadrant in which θ lies. [/FONT]

[FONT=&quot]sin θ < 0 and tan θ < 0

[/FONT][FONT=&quot]7. Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.) (negatives should be applied to the numerator) [/FONT]

[FONT=&quot]Function Value Constraint [/FONT]
[FONT=&quot]cot θ = −3 [/FONT]
[FONT=&quot]cos θ > 0 [/FONT]
[FONT=&quot]sinθ = ___ \√ ___ [/FONT]

[FONT=&quot]cosθ = ___ \√ ___ [/FONT]

[FONT=&quot]tanθ = ___ \ ___ [/FONT]

[FONT=&quot]cscθ = ___ √ ___ [/FONT]

[FONT=&quot]secθ = ___ √ ___ \ ___ [/FONT]

[FONT=&quot]tanθ = ___ [/FONT]

[FONT=&quot]8. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = −210° [/FONT]
[FONT=&quot]θ' = ___ ° [/FONT]

[FONT=&quot]9. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = 740° [/FONT]
[FONT=&quot]θ' = ___ ° [/FONT]

[FONT=&quot]10. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = 690° [/FONT]
[FONT=&quot]θ' = ___ ° [/FONT]

[FONT=&quot]11. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = -49π\11 [/FONT]
[FONT=&quot]θ' = ___ π \ ___ radians [/FONT]

[FONT=&quot]12. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = -17π\7 [/FONT]
[FONT=&quot]θ' = ___ π \ ___ radians [/FONT]

[FONT=&quot]13. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = 38π\11 [/FONT]
[FONT=&quot]θ' = ___ π \ ___ radians [/FONT]

[FONT=&quot]14. Find the reference angle θ'. [/FONT]

[FONT=&quot]θ = 60π\11 [/FONT]
[FONT=&quot]θ' = ___ π \ ___ radians[/FONT]

 

[Deleted member 4993]

1. In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After you drive 11 miles closer to the mountain, the angle of elevation is 9°. Approximate the height of the mountain. (Round your answer to one decimal place.)

height = ___ mi

2. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (the first blank is for the mathmatical sign +/-

(−9, −4)

sinθ = ___ ___ \√___

3. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (the first blank is for the mathmatical sign +/-

(−4, 22)

tanθ = ___ ___ \ ___

4. The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (the first blank is for the mathmatical sign +/-

(−5, −2)

cosθ = ___ ___ \√ ___

5. State the quadrant in which θ lies.

cos θ < 0 and tan θ < 0

6. State the quadrant in which θ lies.

sin θ < 0 and tan θ < 0

7. Find the values of the six trigonometric functions of θ with the given constraint. (If an answer is undefined, enter UNDEFINED.) (negatives should be applied to the numerator)

Function Value Constraint
cot θ = −3
cos θ > 0
sinθ = ___ \√ ___

cosθ = ___ \√ ___

tanθ = ___ \ ___

cscθ = ___ √ ___

secθ = ___ √ ___ \ ___

tanθ = ___

8. Find the reference angle θ'.

θ = −210°
θ' = ___ °

9. Find the reference angle θ'.

θ = 740°
θ' = ___ °

10. Find the reference angle θ'.

θ = 690°
θ' = ___ °

11. Find the reference angle θ'.

θ = -49π\11
θ' = ___ π \ ___ radians

12. Find the reference angle θ'.

θ = -17π\7
θ' = ___ π \ ___ radians

13. Find the reference angle θ'.

θ = 38π\11
θ' = ___ π \ ___ radians

14. Find the reference angle θ'.

θ = 60π\11
θ' = ___ π \ ___ radians

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