What is cos^2(θ)-sin^2(θ) ?

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

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simplify cos^2(θ)-sin^2(θ)

simplify

cos^{2} (θ) - sin^{2} (θ)

cos (2 θ)

Solution steps

cos^{2} (θ) - sin^{2} (θ)

Use the Double Angle identity:

cos^{2} (x) - sin^{2} (x) = cos (2 x)

= cos (2 θ)

cos^{4} (x) - sin^{4} (x)

\frac{55}{6 ( 3 - 2 ) + 5} + \frac{2 ( 3 ) ^{2}}{8 - 2}

318 - 212 + 32

\frac{( 4 \cdot 3 ^{22} + 7 \cdot 3 ^{21} ) \cdot 57}{( 19 \cdot 2 7 ^{4} ) ^{2}}

\frac{( x ^{2} y ^{- 3} ) ^{\frac{1}{4}}}{x ^{- 1} y ^{2}}