What is expand (1+sin(x))^2+cos^2(t) ?

The solution to expand (1+sin(x))^2+cos^2(t) is 1+2sin(x)+sin^2(x)+cos^2(t)

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expand (1+sin(x))^2+cos^2(t)

expand

(1 + sin (x))^{2} + cos^{2} (t)

1 + 2 sin (x) + sin^{2} (x) + cos^{2} (t)

Solution steps

(1 + sin (x))^{2} + cos^{2} (t)

Apply Perfect Square Formula:

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

(1 + sin (x))^{2} = 1^{2} + 2 \cdot 1 \cdot sin (x) + sin^{2} (x)

= 1^{2} + 2 \cdot 1 \cdot sin (x) + sin^{2} (x) + cos^{2} (t)

Simplify

1^{2} + 2 \cdot 1 \cdot sin (x) + sin^{2} (x) : 1 + 2 sin (x) + sin^{2} (x)

= 1 + 2 sin (x) + sin^{2} (x) + cos^{2} (t)

\frac{2 ( 15 - 15 )}{21}

\frac{6 y - ( - 1 ) ^{y} + 3}{2}

ln (2) (x - 1)

55 (2 - 56)

\frac{36 x}{( x + 3 ) ^{2}}

What is expand (1+sin(x))^2+cos^2(t) ?
The solution to expand (1+sin(x))^2+cos^2(t) is 1+2sin(x)+sin^2(x)+cos^2(t)