What is cos^2(3θ)-sin^2(3θ) ?

The solution to cos^2(3θ)-sin^2(3θ) is cos(6θ)

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simplify cos^2(3θ)-sin^2(3θ)

simplify

cos^{2} (3 θ) - sin^{2} (3 θ)

cos (6 θ)

Solution steps

cos^{2} (3 θ) - sin^{2} (3 θ)

Rewrite using trig identities

= cos (6 θ)

(\frac{1}{3})^{2} + \frac{5}{9}

m^{5} - n^{5}

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

cos^{2} (5 x) + sin^{2} (5 x)

8 y^{2} - 10 y - 3