Sine, Cos of Complementary Angles Worksheets

Trigonometry Worksheets

There are six sets of Trigonometry worksheets:

• Sin, Cos, Tan
  
• Sin & Cos of Complementary Angles
  
• Find Missing Sides
  
• Find Missing Angles
  
• Area of Triangle using Sine
  
• Law of Sines and Cosines
  

Sine, Cosine of Complementary Angles Worksheets

In these free math worksheets, students learn to find the Sine, Cosine of Complementary Angles.

There are four sets of Sine & Cosine of Complementary Angles worksheets:
Explore sine & cosine of complementary angles
Use the property of sine & cosine of complementary angles

How to solve Sine & Cosine of Complementary Angles worksheets?
The sine and cosine of complementary angles have a specific relationship. Complementary angles are two angles whose measures add up to 90 degrees. For example, if angle A and angle B are complementary, then A + B = 90°.

In the context of sine and cosine:

1. Sine of Complementary Angles:
   

• The sine of an angle and the cosine of its complement are equal.
• If A + B = 90°, then sin(A)=cos(B) and sin(B)=cos(A).

2. Cosine of Complementary Angles:
   

• The cosine of an angle and the sine of its complement are also equal.
• If A + B = 90°, then cos(A)=sin(B) and cos(B)=sin(A).

For example:
If sin(30°)=0.5, then cos(60°)=0.5 because 30° + 60° = 90°

This property is particularly useful in trigonometric calculations, especially when dealing with complementary angles in the context of right triangles.

Have a look at this video if you need to review how to find sine and cosine of complementary angles.

• Trigonometric Ratios of Complementary Angles

Click on the following worksheet to get a printable pdf document.
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More Sine, Cosine of Complementary Angles Worksheets

Printable
(Answers on the second page.)
Sine, Cos of Complementary Angles Worksheet #1
Sine, Cos of Complementary Angles Worksheet #2
Sine, Cos of Complementary Angles Worksheet #3
Sine, Cos of Complementary Angles Worksheet #4

Online
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Trigonometry (sine, cosine, tangent)
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Inverse Trigonometry (using a calculator)
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