Trigonometry/Collection of Problems/Trigonometric Functions of Angles

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Standard Position of Angles[edit]

Sketch each of the following angles in standard position, and state whether it is a first-, second-, third-, or fourth-quadrant angle.

1. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle 30^{\circ}} 2. 3. 4.
5. 6. 7. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle 220^{\circ}} 8. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle 400^{\circ}}
               

Each of the angles and are in standard position. Are they coterminal?

9.
10.
11.
12.
13. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle \theta = 110^\circ \phi = -290^\circ}
14. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle \theta = 210^\circ \phi = -510^\circ}
   

Values of Trigonometric Functions[edit]

In each of the figures find the values of , , and :

1. Xy coord01.png

2. Xy coord02.png

3. Xy coord03.png

4. Xy coord04.png

5. Xy coord05.png

6. Xy coord06.png