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2sinx+cosx
2sinx + cosx = cosx - sinx
Expert answered|IfNotSo|Points 4269|
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Asked 9/25/2010 2:12:10 AM
Updated 353 days ago|6/26/2023 10:40:03 AM
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Solution:
To find a solution for the expression 2sin(x) + cos(x), we can use trigonometric identities to simplify it.

Let's rewrite the expression using the identity sin(x) = cos( /2 - x):
2sin(x) + cos(x) = 2cos( /2 - x) + cos(x)
2cos( /2 - x) + cos(x) = 2cos( /2)cos(x) + 2sin( /2)sin(x) + cos(x)

Simplifying further using the identities cos( /2) = 0 and sin( /2) = 1, we have:
2cos( /2)cos(x) + 2sin( /2)sin(x) + cos(x) = 2(0)cos(x) + 2(1)sin(x) + cos(x)
0 + 2sin(x) + cos(x) = 2sin(x) + cos(x)

Therefore, the solution is 2sin(x) + cos(x).
Added 353 days ago|6/26/2023 10:40:03 AM
This answer has been confirmed as correct and helpful.
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