cos(5pie/4) -sin(3pie/4)

cos(5pie/4) -sin(3pie/4)

 

*pie meaning that symbol which also = 3.14
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1 Answer

cos5pie/4 -sin3pie/4=

( 5pie/4 = 225 degree, and 3pie/4 = 135 degree )

cos 225 - sin135 =

cos ( 180 + 45 ) - sin ( 90 + 45) =

cos( 180 + 45 ) = - cos45 , and sin ( 90 + 45) = cos 45 ⇒

 - cos 45 - cos45 =

- 2cos45  =

cos 45=sqrt2/2 ⇒

- 2* sqrt2/2 =

- sqrt2
by Level 8 User (36.8k points)

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