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Compute sin 1755\(^\circ\).

 Feb 11, 2021
 #1
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0

sin(1755o) = -0.707106781187       via calculator

 Feb 11, 2021
 #2
avatar+102 
+1

but how to solve it???

vockeyvockvock  Feb 11, 2021
 #3
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+1

sin ( 4 *360  + 315)    =   sin (315) = sin (7π/4) =  sin ( -π/4) =   - sqrt 2/2 =  - .7071

Guest Feb 11, 2021
 #4
avatar+112447 
+1

1755/360 = 4 and a bit

so it is 4 revolutions plus a partial revolution

4*360=1440

1755-1440=315

 

so

Sin 1755 = sin 315

315 degrees is in the 4th quadrant where sin is always negative.

360-315=45 degrees

 

sin 315 = -sin 45 degrees 

 

Draw a right angled, isosceles triangle with the legs being 1 unit in length.  

the angles are 90, 45 and 45 degrees

Use pythagoras's Theorum to find the hypotenuse.

From that you can work out what sin450  is.

 Feb 12, 2021

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