What is expand sec(θ)(1-sin^2(θ)=cos(θ)) ?

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

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expand sec(θ)(1-sin^2(θ)=cos(θ))

expand

sec (θ) (1 - sin^{2} (θ) = cos (θ))

sec (θ) - sin^{2} (θ) sec (θ) = cos (θ)

Solution steps

sec (θ) (1 - sin^{2} (θ) = cos (θ))

= sec (θ) (1 - = sin^{2} (θ) cos (θ))

Apply the distributive law:

a (b - c) = ab - a c

a = sec (θ), b = 1, c = sin^{2} (θ) = cos (θ)

sec (θ) \cdot 1 - sec (θ) sin^{2} (θ) = cos (θ)

1 \cdot sec (θ) - sec (θ) sin^{2} (θ) = cos (θ)

Expand

1 \cdot sec (θ) - sec (θ) sin^{2} (θ) : sec (θ) - sin^{2} (θ) sec (θ)

sec (θ) - sin^{2} (θ) sec (θ) = cos (θ)

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

(1 + x^{2} + y^{2} + x^{2} y^{2}) d y

\frac{x - 7}{( x + 1 ) ( x - 2 )}

\frac{( y + z ) ^{2} - 4}{y}

sin ((x + y) sin (x - y))

What is expand sec(θ)(1-sin^2(θ)=cos(θ)) ?
The solution to expand sec(θ)(1-sin^2(θ)=cos(θ)) is sec(θ)-sin^2(θ)sec(θ)=cos(θ)