Signs of the trigonometric functions of the angle -200

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SUMMARY

The signs of the trigonometric functions for the angle -200° are determined based on its position in the coordinate plane. Specifically, sin(-200°) and csc(-200°) are positive, while cos(-200°), sec(-200°), tan(-200°), and cot(-200°) are negative. The angle -200° is located in the third quadrant, which confirms that sine and cosecant are positive, while cosine, secant, tangent, and cotangent are negative. Utilizing the mnemonic "All Students Take Calculus" aids in remembering the signs of trigonometric functions across quadrants.

PREREQUISITES
  • Understanding of trigonometric functions and their properties
  • Knowledge of the unit circle and angle measurement in degrees
  • Familiarity with the concept of quadrants in the Cartesian plane
  • Ability to apply mnemonic devices for memorization of trigonometric signs
NEXT STEPS
  • Study the unit circle to visualize angles and their corresponding trigonometric function signs
  • Learn about the properties of trigonometric functions in different quadrants
  • Explore mnemonic devices for remembering trigonometric function signs
  • Practice solving trigonometric function problems involving negative angles
USEFUL FOR

Students studying trigonometry, educators teaching trigonometric functions, and anyone preparing for exams involving trigonometric identities and properties.

MattO7766
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Determine the signs of the trigonometric functions of the angle -200° in standard position.

sin(-200°)
cos(-200°)
tan(-200°)
csc(-200°)
sec(-200°)
cot(-200°)

Information:
Q1= (All Positive)
Q2= (sin csc)
Q3= (tan cot)
Q4= (cos sec)

Answer:
sin(-200°) = Positive
cos(-200°) = Negative
tan(-200°) = Negative
csc(-200°) = Positive
sec(-200°) = Negative
cot(-200°) = Negative

Could someone please help me with this, I'm very confused
 
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http://planetmath.org/DeterminingSignsOfTrigonometricFunctions.html

Since -200° lies in the second quadrant, then all are positive except for SIN and CSC, as described in the link above. Use the mnemonic device "All Students Take Calculus" as suggested and you will get any question relating to this task 100% on an exam!
 

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