Question

The sine and cosine of an acute angle are equal. What is the value of angle?
1)30°
2)45°
3)60°
4)Sine and Cosine will never be equal.

Answers

  1. The sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

    To what angles both the sine and the cosine have the same value?

    Acute angles are angles whose measures are greater than 0° and less than 90°. According to the statement, we must find at least a value such that sin θ = cos θ:
    sin θ = cos θ                     Given
    sin θ / cos θ = 1                 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property
    tan θ = 1                            Definition of tangent
    θ = π / 4                            Inverse trigonometric function / Result
    In a nutshell, the sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)
    To learn more on trigonometric functions: https://brainly.com/question/14746686
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