What is expand (cos(x)+ysin(x))^2 ?

The solution to expand (cos(x)+ysin(x))^2 is cos^2(x)+y^2sin^2(x)+ysin(2x)

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expand (cos(x)+ysin(x))^2

expand

(cos (x) + y sin (x))^{2}

cos^{2} (x) + y^{2} sin^{2} (x) + y sin (2 x)

Solution steps

(cos (x) + y sin (x))^{2}

Apply Perfect Square Formula:

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

(cos (x) + y sin (x))^{2} = cos^{2} (x) + 2 cos (x) y sin (x) + (y sin (x))^{2}

= cos^{2} (x) + 2 cos (x) y sin (x) + (y sin (x))^{2}

Simplify

cos^{2} (x) + 2 cos (x) y sin (x) + (y sin (x))^{2} : cos^{2} (x) + y^{2} sin^{2} (x) + y sin (2 x)

= cos^{2} (x) + y^{2} sin^{2} (x) + y sin (2 x)

P (2, - 3) A (c + 2, - 4) B (4 - 3 c, - 2)

l im x \Rightarrow 2 (3 x^{3} - 2 x^{2} + 6 x)

(5 - x + 2)^{2}

- 2.515 sin (0.503 (x - 6.75))

3 (13 + 7)

What is expand (cos(x)+ysin(x))^2 ?
The solution to expand (cos(x)+ysin(x))^2 is cos^2(x)+y^2sin^2(x)+ysin(2x)