What is (sin(θ)-cos(θ))^2 ?

The solution to (sin(θ)-cos(θ))^2 is -sin(2θ)+1

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simplify (sin(θ)-cos(θ))^2

simplify

(sin (θ) - cos (θ))^{2}

- sin (2 θ) + 1

Solution steps

(sin (θ) - cos (θ))^{2}

Expand

(- cos (θ) + sin (θ))^{2} : cos^{2} (θ) - 2 cos (θ) sin (θ) + sin^{2} (θ)

= cos^{2} (θ) + sin^{2} (θ) - 2 cos (θ) sin (θ)

Rewrite using trig identities

= - sin (2 θ) + 1

D x [\frac{3 x ^{2} + 1}{2 x ^{2}}]

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

2000 \cdot (1.00175)^{(12 \cdot 5)}

\frac{1}{2} x - x

lo g_{10} (3) (81)