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which solutions have the equation sin x=cos(pi/4) in the range 0 < x < 2pi ?

A) Only x=pi/6

B) x= pi/4 and x=5pi/4

C) x= pi/4 and x=3pi/4

D) Only x=pi/4

E) none of the options is correct

 

How many soutions have the equaton sin x= sin(pi/7) in the ange 0 < x < pi

A) none of the options is correct

B) No solutions

C) exactly one solutions

D) exactly two solutuons

E) exactly three solutions 

 Oct 3, 2016
 #1
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The first one is  'C'    where    sinx = + sqrt2/2   is in 1 st and 2 nd quadrants      pi/4 and 3pi/4

 

The second one is  'D'     at pi/7   and 6pi/ 7   sin has the same positive value. 

(Sin is negative from pi to 2pi....thought the question only asked about 0-->pi )

 Oct 3, 2016

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