What is (cos(t)-sin(t))^2 ?

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

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simplify (cos(t)-sin(t))^2

simplify

(cos (t) - sin (t))^{2}

- sin (2 t) + 1

Solution steps

(cos (t) - sin (t))^{2}

Expand

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

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

Rewrite using trig identities

= - sin (2 t) + 1

- 7 \cdot (- 3)

(3 + 6) (3 - 6)

(3 - i)^{9}

\frac{10 ( x ^{3} ) ^{2}}{4 x ^{5}}