sin (pi cos x) = Cos ( pi sin x) sin2x=?
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2
Answer:
cos(πsinx)=sin(πcosx)
⇒cos(πsinx)=cos(π/2−πcosx)
So, πsinx=2nπ±(π/2−πcosx)
sinx=2n±(1/2−cosx)
Where π is any integer.
if n=0
sinx=1/2±cosx
sinx=−1/2+cosx or sinx=1/2−cosx
cosx−sinx=1/2 sinx+cosx=1/2
Squaring both sides,
1+sin2x=1/4 or 1−sin2x=1/4
sin2x=−3/4 or sin3/4
∴ sin2x=−3/4 or 3/4
Answered by
0
Answer:
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Step-by-step explanation:
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