What is (cos(θ/2)-sin(θ/2)e^{iφ})^2 ?

The solution to (cos(θ/2)-sin(θ/2)e^{iφ})^2 is (cos(θ/2)-sin(θ/2)(cos(φ)+isin(φ)))^2

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simplify (cos(θ/2)-sin(θ/2)e^{iφ})^2

simplify

(cos (\frac{θ}{2}) - sin (\frac{θ}{2}) e^{i φ})^{2}

(cos (\frac{θ}{2}) - sin (\frac{θ}{2}) (cos (φ) + i sin (φ)))^{2}

Solution steps

(cos (\frac{θ}{2}) - sin (\frac{θ}{2}) e^{i φ})^{2}

e^{i φ} = cos (φ) + i sin (φ)

= (cos (\frac{θ}{2}) - sin (\frac{θ}{2}) (cos (φ) + i sin (φ)))^{2}

\frac{1}{s ( s + 4 ) ^{2}}

5010 c + 10 - (\frac{100 ( 2 c - 8 )}{c ^{2} - 8 c + 20})

2 sec (\frac{π}{4} (x + 1))

\frac{x ^{2} ( 4 - x )}{4}

- \frac{2 x ^{2} ( 15 y ^{4} + 2 x ^{4} )}{25 y ^{4}}

What is (cos(θ/2)-sin(θ/2)e^{iφ})^2 ?
The solution to (cos(θ/2)-sin(θ/2)e^{iφ})^2 is (cos(θ/2)-sin(θ/2)(cos(φ)+isin(φ)))^2