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What is (1+ tan^(2) theta)/(1+cot^(2) t...

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

A

0

B

1

C

`2 tan theta`

D

`2 cot theta `

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The correct Answer is:
A
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((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

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

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

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

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

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

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

Show that, (1+tan^2theta)/(1+cot^2 theta)=tan^2theta

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