Are Sine 45° and Cosine 45° Equal? Explained

Discover why sin 45° and cos 45° have the same value of √2/2 in right triangle trigonometry.

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Yes, sin 45° and cos 45° are the same. Both have the value of √2/2 or approximately 0.707. This is due to the properties of a 45-degree angle in a right triangle, where the legs are of equal length.

FAQs & Answers

  1. Why are sin 45° and cos 45° equal? Sin 45° and cos 45° are equal because in a right triangle with a 45-degree angle, the legs have equal length, resulting in equal sine and cosine values of √2/2.
  2. What is the value of sin 45°? The value of sin 45° is √2/2, which is approximately 0.707.
  3. How is cos 45° calculated? Cos 45° is calculated as the ratio of the adjacent side to the hypotenuse in a 45° right triangle, which equals √2/2.

Watch More

For more insights on trigonometric functions and their applications, explore our videos on sine and cosine values for other common angles and how they relate to right triangles.

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