Special Relationships Between Sine and Cosine (Grades 11-12)

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Special Relationships Between Sine and Cosine

Instructions: For each question, find the value of [math]x[/math].

1. 
[math]cos(30°)=sin(x)[/math] (assuming [math] 0°<= x <= 90° [/math])
  1. 30°
  2. 15°
  3. 60°
  4. 90°
2. 
[math]sin(15°)=cos(x)[/math] (assuming [math] 0°<= x <= 90° [/math])
  1. 45°
  2. 75°
  3. 60°
  4. 30°
3. 
[math]sin(85°)=cos(x)[/math] (assuming [math] 0°<= x <= 90° [/math])
  1. 15°
  2. 105°
  3. 85°
4. 
[math]sin(34°)+ cos (90°)=sin(x)[/math] (assuming [math] 0°<= x <= 90° [/math])
  1. 10°
  2. 56°
  3. 124°
  4. 34°
5. 
[math]sin(45°)- cos (45°)=cos(x)[/math] (assuming [math]0°<=x<=90°[/math])
  1. 90°
  2. 45°
  3. 22.5°

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