- #1
PhysicsAdvice
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How would i solve sinxcosx=0.458, I cannot determine how to isolate the angle, is there a set of identities i could use? Thanks!
Solve sinxcosx=0.458: Identities & Isolating Angle
- Thread starter PhysicsAdvice
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AI Thread Summary
To solve the equation sin(x)cos(x) = 0.458, the double angle identity can be utilized, specifically sin(2x) = 2sin(x)cos(x). This allows for the equation to be rewritten as sin(2x) = 0.916. Accessing a table of trigonometric identities, such as those found on Wikipedia, can provide additional helpful formulas. Isolating the angle may require further manipulation or numerical methods. Using these identities will facilitate finding the solution for x.
- #2
gneill
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PhysicsAdvice said:
There's a double angle identity that involves sin(x)*cos(x). Check your table of identities.
( You DO keep a table of identities handy, don't you?
)- #3
intwo
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Take a look at the trig identities on Wikipedia. You may find something useful.
- #4
PhysicsAdvice
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In a locket around my neck, of course, let me check
- #5
PhysicsAdvice
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found the right one, thanks!
Here is what I tried
This question was actually asked in one of our engineering entrances.
The answer was 1D.
My teachers say that we have to use μₘ/fₘ to get to this answer. I cannot understand why. I'll be really glad if you could tell me the exact definition of power (numerically) that works in all scenarios.
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