What is expand sin^2(y)+(cos(y)-tan(y))(cos(y)+tan(y)) ?

The solution to expand sin^2(y)+(cos(y)-tan(y))(cos(y)+tan(y)) is -tan^2(y)+1

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expand sin^2(y)+(cos(y)-tan(y))(cos(y)+tan(y))

expand

sin^{2} (y) + (cos (y) - tan (y)) (cos (y) + tan (y))

- tan^{2} (y) + 1

Solution steps

sin^{2} (y) + (cos (y) - tan (y)) (cos (y) + tan (y))

Expand

(cos (y) - tan (y)) (cos (y) + tan (y)) : cos^{2} (y) - tan^{2} (y)

= sin^{2} (y) + cos^{2} (y) - tan^{2} (y)

Use the Pythagorean identity:

cos^{2} (x) + sin^{2} (x) = 1

= - tan^{2} (y) + 1

\frac{1}{2} (cosh (2 x) - 1)

(3 x - 2) (3 x + 2)

(cos (y) - x sec^{2} (y)) d x - sin (y) d y

5^{3}

(e^{y} + 1)^{2} e^{- y} d x + (e^{x} + 1)^{3} e^{- x} d y

What is expand sin^2(y)+(cos(y)-tan(y))(cos(y)+tan(y)) ?
The solution to expand sin^2(y)+(cos(y)-tan(y))(cos(y)+tan(y)) is -tan^2(y)+1