(sec^2 theta-1) (1-cosec^2 theta)= -1

Q. sec2-11-cosec2= -1
Sol. LHS = sec2-11-cosec2
1+tan2-11-1+cot2 by using sec2=(1+tan2) and cosec2=(1+cot2)
tan2.(-cot2)
tan2.-1tan2
-1=RHS
Q. sec2-11-cosec2= -1
Sol. LHS = sec2-11-cosec2
1+tan2-11-1+cot2 by using sec2=(1+tan2) and cosec2=(1+cot2)
tan2.(-cot2)
tan2.-1tan2
-1=RHS