Help me remember the standard angles in trigonometry such as sin 45 cos 45 etc.
Understand the Problem
The question is asking for the values of standard angles in trigonometry, such as sine and cosine of commonly used angles like 45 degrees.
Answer
sin 45° = 1/√2, cos 45° = 1/√2, tan 45° = 1.
The standard trigonometric values for 45 degrees are sin 45° = 1/√2, cos 45° = 1/√2, and tan 45° = 1.
Answer for screen readers
The standard trigonometric values for 45 degrees are sin 45° = 1/√2, cos 45° = 1/√2, and tan 45° = 1.
More Information
For the 45° angle in a 45°-45°-90° triangle, both the hypotenuse's opposite and adjacent sides are equal, leading to these specific trigonometric values.
Tips
A common mistake is confusing the values of sin and cos for 30°, 45°, and 60° angles. Making a simple mnemonic or remembering the pattern as shown in the sources can help.
Sources
- Easy way of memorizing values of sine, cosine, and tangent - Math Stack Exchange - math.stackexchange.com
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