Question:
cos(x + yx) =
cos(x + yx) =
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Cosine addition formulas always follow the pattern cos a cos b minus sin a sin b.
Updated On: Dec 14, 2025
- cos(x)cos(yx) – sin(x)sin(yx)
- cos(x)cos(yx) + sin(x)sin(yx)
- cos(x)sin(yx) – sin(x)cos(yx)
- cos(x)sin(yx) + sin(x)cos(yx)
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The Correct Option is A
Solution and Explanation
Step 1: Recall the trigonometric identity.
The cosine addition formula is: cos(a + b) = cos(a)cos(b) − sin(a)sin(b).
Step 2: Substitute the given values.
Here, a = x and b = yx, so cos(x + yx) = cos(x)cos(yx) − sin(x)sin(yx).
Step 3: Final conclusion.
The expression exactly matches option (A).
The cosine addition formula is: cos(a + b) = cos(a)cos(b) − sin(a)sin(b).
Step 2: Substitute the given values.
Here, a = x and b = yx, so cos(x + yx) = cos(x)cos(yx) − sin(x)sin(yx).
Step 3: Final conclusion.
The expression exactly matches option (A).
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