Sum and Difference Identitiescos(a-b) =
The sum and difference identities related to trigonometric functions help us express the trigonometric values of the sum or difference of two angles in terms of the trigonometric values of those angles
The sum and difference identities related to trigonometric functions help us express the trigonometric values of the sum or difference of two angles in terms of the trigonometric values of those angles.
The sum identity for cosine is given by:
cos(a + b) = cos(a) * cos(b) – sin(a) * sin(b)
Similarly, the difference identity for cosine is given by:
cos(a – b) = cos(a) * cos(b) + sin(a) * sin(b)
So, the correct answer to your question is:
cos(a – b) = cos(a) * cos(b) + sin(a) * sin(b)
These identities are useful in simplifying trigonometric expressions, solving trigonometric equations, and proving various mathematical relationships involving trigonometric functions.
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