The angle difference formulas are used to find the trigonometric ratios of some specific non-standard angles by writing them as the difference of two standard angles. These are also known as angle difference identities. Along with angle difference formulas, we have angle sum formulas as well.
What is Angle Difference Formula?
We already know the values of trigonometric functions of standard angles from the trigonometric table. i.e., we can directly tell the exact values of sin 90°, cos 45°, cosec 30°, etc using the trigonometric table. But what are the values of sin 75°, cos 15°, tan 105°, etc? These can be found using the angle difference formulas and angle sum formulas. Here are the angle difference formulas.
sin (A - B) = sin A cos B - cos A sin B
cos (A - B) = cos A cos B + sin A sin B
tan (A - B) = (tan A - tan B) / (1 + tan A tan B)
You can see the angle difference and angle sum formulas below.
Let us see the applications of the angle difference formulas in the following section.
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