document.write( "Question 1115710: Please help
\n" ); document.write( "Given that the right triangle ABC as shown, fill in the values of tan θ and sec θ, and prove in general that 1 + tan^2 θ = sec^2 θ
\n" ); document.write( "Tan θ =_____
\n" ); document.write( "Sec θ=_____
\n" ); document.write( "Here is a picture of the problem
\n" ); document.write( "https://ibb.co/mzmHuH
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #730544 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
The tangent is a/b
\n" ); document.write( "The secant is the reciprocal of the cosine and is c/b
\n" ); document.write( "1+(a^2/b^2)=(b^2+a^2)/b^2=c^2/b^2, because a^2+b^2=c^2
\n" ); document.write( "c/b is the secant, so (c/b)^2 theta is sec^2, theta
\n" ); document.write( "
\n" ); document.write( "
\n" );