document.write( "Question 1012842: Find an angle that satisfies cot theta equals tan 35 degrees \n" ); document.write( "

Algebra.Com's Answer #628939 by ikleyn(52943) $\"\"$ $\"About$

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\n" ); document.write( "Find an angle that satisfies $\"cot%28theta%29\"$ equals $\"tan%2835%5Eo%29\"$ .
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\n" ); document.write( "\n" ); document.write( "Answer. $\"theta\"$ = 90° - 35° = 55°.\r
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document.write( "Proof\r\n" );
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document.write( "For the proof, draw a right-angled triangle with one acute angle of 35°.\r\n" );
document.write( "Then the other acute angle is 55°.\r\n" );
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document.write( "Tangent of the angle of 35° is the ratio of the opposite leg dimension to the adjacent leg dimension.\r\n" );
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document.write( "Now compare it with the definition of the cotangent of the other acute angle, and you will get that it is the same.\r\n" );
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