Match the equivalent expressions tan2x sinxcscx cosxsinxtan

Match the equivalent expressions. tan^2(x) + sin(x)csc(x) cos(x)/sin(x)tan(x) sec (x) cos (x) tan(x)cos(x) sec^2(x) - 1 1 tan^2 (x) cot^2(x) sec^2(x) sin(x)

Solution

tan^2x + sinxcscx

tan^2x + 1 = sec^2x Option d

cosx/(sinxtanx) = cosx/(sinx*sinx/cosx)

= cos^2x/sin^2x = cot^2x

Option C

secx*cosx = 1/cosx*(cosx) =1

Option a

sec^2x -1 = tan^2x

Option b