" (vi) "(1+tan^(2)theta)/(1+cot^(2)theta)=((1-tan theta)/(1-cot theta))^(2)

((1-tan theta)/(1-cot theta))^2 +1 =

((1-tan theta)/(1-cot theta))^2 +1 =

Prove: (1+tan^(2)theta)/(1+cot^(2)theta)=((1-tan theta)/(1-cot theta))^(2)=tan^(2)theta

What is (1+ tan^(2) theta)/(1+cot^(2) theta) -((1-tan theta)/(1-cot theta ))^(2) equal to ?

Consider the following statements 1 (1+tan^(2)theta)/(1+cot^(2)theta)=(1-tan theta)/(1-cot theta)^(2) is true for all 0 lt thetalt (pi)/(2),theta ne (pi)/(4) 2 cot theta=(1)/(tan theta) is true for theta =45^(@) only Which of the above statements is /are correct?

(1)/(1+tan^(2)theta)+(1)/((1+cot^(2)theta))

(tan theta)/(1+cot theta)=(tan theta-1)/(2-cos ec^(2)theta)

(1)/(tan theta+cot theta)=

((1+tan^(2)theta)cot theta)/(csc^(2)theta)=tan theta

(1-cot^(2)theta)/(tan^(2)theta-1)=cot^(2)theta