Use a calculator to find a decimal approximation for the value of the given trigonometric function.
cosine left parenthesis 90 degrees minus 3.99 degrees right parenthesis
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Part 1
cosine left parenthesis 90 degrees minus 3.99 degrees right parenthesisequals
  
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​(Simplify your answer. Type an integer or a decimal. Round to seven decimal places if ​needed.)

The decimal approximation for \( \cos(90^\circ - 3.99^\circ) \) is approximately 0.0695824, rounded to seven decimal places.

Do you need any further details or have any questions?  
Here are some related questions to explore:
1. What is the sine of \( 90^\circ - 3.99^\circ \)?
2. How does the identity \( \cos(90^\circ - \theta) = \sin(\theta) \) apply here?
3. What is the cosine of 3.99 degrees directly?
4. How would the value change for a different angle, say 10 degrees?
5. What is the relationship between sine and cosine for complementary angles?

**Tip:** The co-function identity, \( \cos(90^\circ - \theta) = \sin(\theta) \), can simplify many trigonometric calculations.

Use a calculator to find a decimal approximation for the value of the given trigonometric function. cosine left parenthesis 90 degrees minus 3.99 degrees right parenthesis.

Learn how to calculate the decimal approximation of cos(90° - 3.99°) using the co-function identity. This solution demonstrates the relationship between sine and cosine for complementary angles. Ideal for students in Grades 9-10, the solution includes a detailed explanation and calculator steps.

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