document.write( "Question 1060929: If given the value for tan Θ, would you be able to find the value of sec Θ without using the measure for Θ? Keep the tangent and secant of a right triangle in mind when answering this question.
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document.write( "I know that if solely sec Θ is given, then there is not enough details to solve the problem, but why else?
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #675761 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! Given a right triangle with sides x,y,z where z is the hypotenuse and x is the altitude, theta has sides yz \n" ); document.write( ": \n" ); document.write( "tan(theta) = (x/z) * (1/(y/z) = (x/z) * (z/y) \n" ); document.write( ": \n" ); document.write( "sec(theta) = z/y \n" ); document.write( ": \n" ); document.write( "(z/y) = tan(theta) / (x/z) = (tan(theta) * z) / x \n" ); document.write( ": \n" ); document.write( "tan(theta) = c, where c is a real number \n" ); document.write( ": \n" ); document.write( "write c as a ratio a/b where x = a and y = b and z = square root(x^2 + y^2) \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |