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Sin(cosx)=0 find x

Guest Oct 29, 2014

Best Answer 

 #2
avatar+87333 
+5

When cosx = 0 , sin(cos(x)) will = 0

And cosx = 0  at  pi/2 and 3pi/2   (restricting ourselves to [0,2pi])

Here's a graph of the function......https://www.desmos.com/calculator/qafzzoaiad

 

CPhill  Oct 29, 2014
 #1
avatar+17744 
+5

Find the invSin of both sides:

invSin( sin ( cos (x) ) ) = invSin( 0 )

cos(x)  =  0

Find the invCos of both sides:

invCos( cos(x) )  =  invCos( 0 )

x  =  90° or 270°  (and suitable multiples)

geno3141  Oct 29, 2014
 #2
avatar+87333 
+5
Best Answer

When cosx = 0 , sin(cos(x)) will = 0

And cosx = 0  at  pi/2 and 3pi/2   (restricting ourselves to [0,2pi])

Here's a graph of the function......https://www.desmos.com/calculator/qafzzoaiad

 

CPhill  Oct 29, 2014

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