What is (cos(θ)-sin(θ))^2-1 ?

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

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simplify (cos(θ)-sin(θ))^2-1

simplify

(cos (θ) - sin (θ))^{2} - 1

- sin (2 θ)

Solution steps

(cos (θ) - sin (θ))^{2} - 1

Rewrite using trig identities

= - sin (2 θ)

(- 2)^{2} + (- 4)^{2}

\frac{3}{5} - \frac{3 - 2 i}{2 + i}

(x + 3) (x - 3) - (x + 5) (x - 5)

1 + 3.32 lo g_{10} (40)

∣ - 5 + 7 ∣