document.write( "Question 759571: Find all the solutions [in degrees] to 24 sin2𝜃 − 5 sin 𝜃 = 1 Round your answers to one decimal place. \n" ); document.write( "

Algebra.Com's Answer #462120 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find all the solutions [in degrees] to 24 sin2𝜃 − 5 sin 𝜃 = 1 Round your answers to one decimal place.
\n" ); document.write( "24 sin^2𝜃 − 5 sin 𝜃 - 1=0
\n" ); document.write( "solve for sin 𝜃 using quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=24, b=-5, c=-1
\n" ); document.write( "sin 𝜃≈-0.125
\n" ); document.write( "𝜃≈187.2º+360ºn, 352.8º+360ºn, n=integer (in quadrants III and IV where sin<0)
\n" ); document.write( "or
\n" ); document.write( "sin𝜃≈0.333
\n" ); document.write( "𝜃=19.5º+360ºn,160.5º+360ºn, n=integer (in quadrants I and II where sin>0) \n" ); document.write( "

\n" );