Question 926274
find the exact value of sec(25)csc(65)-tan(25)cot(65)
{{{sec(25)csc(65)-tan(25)cot(65)}}}
{{{(1/cos(25))(1/sin(65))-(sin(25)/cos(25))(cos(65)/sin(65))}}}
{{{(1-sin(25)cos(65))/(cos(25)sin(65))}}}
Identities:
sin(x)=cos(90-x)
cos(x)=sin(90-x)
{{{(1-sin(25)sin(25))/(cos(25)cos(25))}}}
{{{(1-sin^2(25))/(cos^2(25))}}}
{{{(cos^2(25))/(cos^2(25))=1}}}
exact value of sec(25)csc(65)-tan(25)cot(65) =1