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.

Question

23-08-2022
Mathematics

contestada

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.

Respuesta :

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xero099 xero099 · Answer 1 · 2022-08-25T14:34:58+02:00

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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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.

Respuesta :

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

Otras preguntas

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.