Isolating y in sin ⁡ ( x y ) = cos ⁡ ( x y...

ddcon4r

ddcon4r

Answered

2022-07-13

Isolating y in sin ( x y ) = cos ( x y )
Given sin ( x y ) = cos ( x y ), what is the best way to isolate y? Since sin ( π 2 ) = cos ( π 2 ) it would seem intuitive to say that x y = π 2 and thus that y = π 2 x

Answer & Explanation

Kaya Kemp

Kaya Kemp

Expert

2022-07-14Added 18 answers

Hint:
tan ( x y ) = 1
and tan 1 both sides.
Lucian Maddox

Lucian Maddox

Expert

2022-07-15Added 8 answers

s i n ( x y ) = c o s ( x y ) x y = π 4 + k π ;   k Z
Thus
y = ( 4 k + 1 ) π 4 x

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