What is factor cos^2(a)+2cos(a)+1 ?

The solution to factor cos^2(a)+2cos(a)+1 is (cos(a)+1)^2

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factor cos^2(a)+2cos(a)+1

factor

cos^{2} (a) + 2 cos (a) + 1

(cos (a) + 1)^{2}

Solution steps

cos^{2} (a) + 2 cos (a) + 1

Rewrite

cos^{2} (a) + 2 cos (a) + 1

cos^{2} (a) + 2 cos (a) \cdot 1 + 1^{2}

= cos^{2} (a) + 2 cos (a) \cdot 1 + 1^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = cos (a), b = 1

= (cos (a) + 1)^{2}

\frac{x ^{2} + 8 x + 16}{x + 4}

[x] + 1

sin (7 x + 7 y)

7 y + (9 x - 6)

r (34 π)

What is factor cos^2(a)+2cos(a)+1 ?
The solution to factor cos^2(a)+2cos(a)+1 is (cos(a)+1)^2