document.write( "Question 1162249: Find the exact values of sin(2θ), cos(2θ), and tan(2θ) when sin θ =-7/12 and 180∘ < 𝜃 < 270∘. \n" ); document.write( "
Algebra.Com's Answer #786009 by MathTherapy(10556)\"\" \"About 
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Find the exact values of sin(2θ), cos(2θ), and tan(2θ) when sin θ =-7/12 and 180∘ < 𝜃 < 270∘.
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The other person who responded gave you WRONG answers. The problem asks for EXACT VALUES. What he gave you are NOT exact values!
\n" ); document.write( ". We then need to find A, or x, which will be negative, since \"theta\" is an ∠ in the 3rd quadrant (180∘ < 𝜃 < 270∘).
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\n" ); document.write( "Therefore, THREE of the 6 TRIG. RATIOS are:
\n" ); document.write( "You may not need tan 𝜃, depending on which formula you use.
\n" ); document.write( "For me, since I would've determined sin 2𝜃 and cos 2𝜃, I would then use the formula: \"matrix%281%2C3%2C+tan+%282theta%29%2C+%22=%22%2C+sin+%282theta%29%2Fcos+%282theta%29%29\". Then again, you decide!!\r
\n" ); document.write( "\n" ); document.write( "Below, I've done \"sin+%282theta%29\" for you. Follow that same concept to determine cos 2𝜃 and maybe tan 2𝜃.
\n" ); document.write( "\"matrix%281%2C3%2C+sin+%282theta%29%2C+%22=%22%2C+2+sin+%28theta%29+cos+%28theta%29%29\"
\n" ); document.write( " ------ Substituting \"%28-+7%29%2F12\", for, sin 𝜃, and \"%28-+sqrt%2895%29%29%2F12\" for cos 𝜃.
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\n" ); document.write( "BTW, Edwin, your tan 𝜃 is WRONG!! \n" ); document.write( "
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