Solve sinxcosx=0.458: Identities & Isolating Angle

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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.
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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!
 
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PhysicsAdvice said:
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!

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? :wink: )
 
Take a look at the trig identities on Wikipedia. You may find something useful. :wink:
 
In a locket around my neck, of course, let me check
 
found the right one, thanks!
 
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