What is (1+tan^2(a))/(1+cot^2(a)) ?

The solution to (1+tan^2(a))/(1+cot^2(a)) is tan^2(a)

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simplify (1+tan^2(a))/(1+cot^2(a))

simplify

\frac{1 + tan ^{2} ( a )}{1 + cot ^{2} ( a )}

tan^{2} (a)

Solution steps

\frac{1 + tan ^{2} ( a )}{1 + cot ^{2} ( a )}

Simplify

1 + tan^{2} (a) : sec^{2} (a)

= \frac{sec ^{2} ( a )}{1 + cot ^{2} ( a )}

Simplify

1 + cot^{2} (a) : csc^{2} (a)

= \frac{sec ^{2} ( a )}{csc ^{2} ( a )}

Express with sin, cos

= \frac{sin ^{2} ( a )}{cos ^{2} ( a )}

Rewrite using trig identities

= tan^{2} (a)

3 w - 52 w + w - 7

[\frac{3 ^{3} - ( \frac{1}{2} ) ^{- 3} x ^{1}}{19}]

1 s^{1} - 1 s^{22} s^{2} - 1 s^{22} s^{1}

\frac{1}{( 1 + sin ( x ) )} + \frac{1}{( 1 - sin ( x ) )}

x^{3} - 2 x - 21

What is (1+tan^2(a))/(1+cot^2(a)) ?
The solution to (1+tan^2(a))/(1+cot^2(a)) is tan^2(a)