{"id":218170,"date":"2024-01-03T17:35:10","date_gmt":"2024-01-03T17:35:10","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-to-find-the-exact-value-of-cosine-of-165-degrees\/"},"modified":"2024-01-03T17:35:10","modified_gmt":"2024-01-03T17:35:10","slug":"how-to-find-the-exact-value-of-cosine-of-165-degrees","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-find-the-exact-value-of-cosine-of-165-degrees\/","title":{"rendered":"How to find the exact value of cosine of 165 degrees?"},"content":{"rendered":"

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. Calculating the exact values of trigonometric functions for certain angles, such as cosine or sine, may seem challenging at first. However, with the right approach, finding the exact value of the cosine of 165 degrees can be relatively straightforward.<\/p>\n

To find the exact value of the cosine of 165 degrees, we need to utilize the concept of reference angles. A reference angle is the acute angle formed between the terminal side of the given angle and the x-axis. Since cosine is an even function, the cosine of the reference angle will have the same value as the cosine of the given angle.<\/p>\n

To determine the reference angle, we can subtract 180 degrees from the given angle. In this case, 165 degrees minus 180 degrees equals -15 degrees. However, cosine is a periodic function, and its values repeat every 360 degrees. Therefore, we can add a full revolution of 360 degrees to our negative reference angle to obtain an equivalent positive reference angle.<\/p>\n

Adding 360 degrees to -15 degrees yields 345 degrees. Now, since we know that the cosine value is equivalent for angles that differ by a multiple of 360 degrees, we can determine that the cosine of 165 degrees is equal to the cosine of 345 degrees.<\/p>\n

**The exact value of the cosine of 165 degrees is the same as the cosine of 345 degrees.**<\/p>\n

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