Solve cos &#x2061;<!-- ⁡ --> <mrow class="MJX-TeXAtom-ORD"> ( 7 x )

Paul Duran

Paul Duran

Answered question

2022-05-15

Solve cos ( 7 x ) + sin ( 3 x ) = 0

Answer & Explanation

candydulce168nlid

candydulce168nlid

Beginner2022-05-16Added 14 answers

cos ( 7 x ) = sin ( 3 x ) = sin ( 3 x ) = cos ( π 2 + 3 x )
So we get
cos ( 7 x ) = cos ( π 2 + 3 x )
Using cos x = cos α , , Then x = 2 n π ± α , , Where n Z
So We get
7 x = 2 n π ± ( π 2 + 3 x ) ,
Where n Z
Leon Robinson

Leon Robinson

Beginner2022-05-17Added 2 answers

You have
cos ( 7 x ) = sin ( 3 x ) = sin ( 3 x ) = cos ( 90 3 x )
Hence,
7 x = ± ( 90 + 3 x ) + n .360 , n ϵ Z

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