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

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

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

simplify

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

sin^{2} (a) cos (a)

Solution steps

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

Simplify

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

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

Use the basic trigonometric identity:

\frac{1}{csc ( x )} = sin (x)

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

3 x^{2 n} (x^{n + 1} - 4 x^{n} + 5)

\frac{- 42}{6}

(4. 5^{2})^{5}

\frac{- 1}{2 - 2 i}

(a^{2} - 2 b)^{2}

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