Alg 2 HW 5-12-25. Trig Functions of General Angles in Degree

Which quadrants have the given properties?

Tan is positive but Sine is Negative: (a)  

Sine and Tan are Negative​ (b)  

No Trig Function is Negative​ (c)  

Sine is Positive But Cos is negative​ ​ (d)  

Cos is Negative but Tan is Positive​ (e)  

• Q3
• Q4
• Q1
• Q2

• Q3
• Q4
• Q1
• Q2

​ Rewrite the following trig functions using the trig of associated reference angles, then evaluate.

Example: Cos 120 = "- Cos 60" = -0.5

Given trig = Trig Reference = The value

Sine 125⁰ = ​ (a)   =​ (b)  

Cos 125 = ​ (c)   =​ (d)  

Tan 125 = ​ (e)  

• sin 55
• 0.8192
• -cos 55
• -0.5736
• -Tan 55
• -sin 55
• cos 55
• tan 55
• sin 35
• -tan 35

​ Rewrite the following trig functions using the trig of associated reference angles, then evaluate.

Example: Cos 120 = "- Cos 60" = -0.5

Given trig = Trig Reference = The value

Sine 310⁰ = ​ (a)   =​ (b)  

Tan 310 = ​ (c)   =​ (d)  

Cos 310 = ​ (e)  

• -sin 50
• -0.7660
• -Tan 50
• -1.1918
• Cos 50
• sin 50
• -cos 50
• tan 50
• 1.1918
• -0.6428

​ Rewrite the following trig functions using the trig of associated reference angles, then evaluate.

Example: Cos 120 = "- Cos 60" = -0.5

Given trig = Trig Reference = The value

Cos 220⁰ = ​ (a)   =​ (b)  

Tan 220 = ​ (c)   =​ (d)  

Sin 220 = ​ (e)  

• -Cos 40
• -0.7660
• Tan 40
• 0.8391
• -Sin 40
• sin 40
• -cos 40
• -tan 40
• 0.7660
• 0.6428

​ Rewrite the following trig functions using the trig of associated reference angles, then evaluate.

Example: Cos 120 = "- Cos 60" = -0.5

Given trig = Trig of Reference < = The value

Cos 136⁰ = ​ (a)   =​ (b)  

• -cos 44
• -0.7193
• 0.7193
• cos 44
• -cos 46
• cos 46
• -0.6946
• 0.6946

​ Rewrite the following trig functions using the trig of associated reference angles, then evaluate.

Example: Cos 120 = "- Cos 60" = -0.5

Given trig = Trig of Reference < = The value

Tan 224⁰ = ​ (a)   =​ (b)  

because 224⁰ is in what quadrant?​ (c)  

• Tan 44
• 0.9657
• -0.9657
• -Tan 44
• - Tan 46
• Tan 46
• -1.0355
• 1.0355
• 3rd
• 2nd

Match the following trig to their reference trigs

• -tan 5

• tan 185

• -tan 85

• tan 85

• tan 5

• tan 265

• tan 85

• tan 355

Match the following trig to their reference trigs

• sin 47

• sin 133

• sin 43

• sin 43

• -sin 47

• sin 317

• -sin 43

• sin 227

Match the following trig to their reference trigs

• cos 60

• cos 390

• -cos 30

• cos 870

• cos 30

• cos 930

• -cos 60

• cos 660