document.write( "Question 1186337: If λ is an angle in the second quadrant and sec λ = - √85/6. Find the value for cos^4 λ-2sin^2 λ +cot^3 λ, as a decimal. \n" ); document.write( "

Algebra.Com's Answer #817263 by ikleyn(52903) $\"\"$ $\"About$

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\n" ); document.write( "If λ is an angle in the second quadrant and sec λ = - √85/6.
\n" ); document.write( "Find the value for cos^4 λ-2sin^2 λ +cot^3 λ, as a decimal.
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document.write( "To facilitate my writing, I will use variable x instead of \"  λ \".\r\n" );
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document.write( "Since sec(x) = ,  we have  cos(x) =  = .\r\n" );
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document.write( "Next, sin(x) =  =  =  =  = .\r\n" );
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document.write( "      (in my derivation, I used the fact that the angle x is in the second quadrant, taking the sign \"+\" at the square root).\r\n" );
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document.write( "So, cos(x) = ;  sin(x) = ;  cot(x) =  = .\r\n" );
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document.write( "Now  cos^4 (x)-2sin^2 (x) +cot^3 (x) =  = use your calculator = 1.6033    (rounded).    ANSWER\r\n" );
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