What is (1+cos(θ))(1-cos(θ)) ?

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

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simplify (1+cos(θ))(1-cos(θ))

simplify

(1 + cos (θ)) (1 - cos (θ))

sin^{2} (θ)

Solution steps

(1 + cos (θ)) (1 - cos (θ))

Expand

(1 + cos (θ)) (1 - cos (θ)) : 1 - cos^{2} (θ)

= 1 - cos^{2} (θ)

Rewrite using trig identities

= sin^{2} (θ)

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

120 - (- 30)

\frac{44}{11}

- 6 (7 x - 2) + 12 x

\frac{x ^{2}}{25}