What is expand (asin(t)sin(p)+dcos(p))^2 ?

The solution to expand (asin(t)sin(p)+dcos(p))^2 is d^2cos^2(p)+a^2sin^2(t)sin^2(p)+adsin(t)sin(2p)

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expand (asin(t)sin(p)+dcos(p))^2

expand

(a sin (t) sin (p) + d cos (p))^{2}

d^{2} cos^{2} (p) + a^{2} sin^{2} (t) sin^{2} (p) + a d sin (t) sin (2 p)

Solution steps

(a sin (t) sin (p) + d cos (p))^{2}

Apply Perfect Square Formula:

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

(a sin (t) sin (p) + d cos (p))^{2} = (a sin (t) sin (p))^{2} + 2 a sin (t) sin (p) d cos (p) + (d cos (p))^{2}

= (a sin (t) sin (p))^{2} + 2 a sin (t) sin (p) d cos (p) + (d cos (p))^{2}

Simplify

(a sin (t) sin (p))^{2} + 2 a sin (t) sin (p) d cos (p) + (d cos (p))^{2} : d^{2} cos^{2} (p) + a^{2} sin^{2} (t) sin^{2} (p) + a d sin (t) sin (2 p)

= d^{2} cos^{2} (p) + a^{2} sin^{2} (t) sin^{2} (p) + a d sin (t) sin (2 p)

\frac{2 ( j + k + 5 )}{9 ( 3 f + 3 k + 15 )}

\frac{0.5}{( 110 s + 1 ) ^{2}}

\frac{1}{8} (ln (5) - \frac{5}{8})

x^{12} (2 x^{2} + 6 x - 8)^{2}

(3 + e^{- x})^{2}

What is expand (asin(t)sin(p)+dcos(p))^2 ?
The solution to expand (asin(t)sin(p)+dcos(p))^2 is d^2cos^2(p)+a^2sin^2(t)sin^2(p)+adsin(t)sin(2p)